C. Vafa

发表

On the Geometry of the String Landscape and the Swampland

H. Ooguri, C. Vafa, 2006, hep-th/0605264.

The String landscape, black holes and gravity as the weakest force

L. Motl, C. Vafa, N. Arkani-Hamed, 2006, hep-th/0601001.

de Sitter Bubbles and the Swampland

C. Vafa, I. Valenzuela, Alek Bedroya, 2020, Fortschritte der Physik.

Geometric Physics

C. Vafa, 1998, hep-th/9810149.

Mirror Symmetry

Cumrun Vafa, C. Vafa, Kentaro Hori, 2000, hep-th/0002222.

Wall Crossing and M-theory

H. Ooguri, M. Yamazaki, C. Vafa, 2009, 0908.1194.

Baby universes in string theory

R. Gopakumar, H. Ooguri, C. Vafa, 2005, hep-th/0504221.

Twistorial Topological Strings and a tt Geometry forN = 2 Theories in 4d

C. Vafa, S. Cecotti, A. Neitzke, 2014, 1412.4793.

On the classification of 6D SCFTs and generalized ADE orbifolds

C. Vafa, J. Heckman, D. Morrison, 2013, 1312.5746.

Cobordism conjecture, anomalies, and the String Lamppost Principle

C. Vafa, M. Montero, 2020, Journal of High Energy Physics.

The point of E8 in F-theory GUTs

C. Vafa, A. Tavanfar, J. Heckman, 2009, 0906.0581.

Supersymmetric protection and the Swampland

C. Vafa, E. Palti, T. Weigand, 2020, Journal of High Energy Physics.

Strings on orbifolds

E. Witten, J. Harvey, C. Vafa, 1985 .

Restrictions on Symmetry Breaking in Vector-Like Gauge Theories

E. Witten, C. Vafa, 1984 .

Dimer models from mirror symmetry and quivering amoebae

Yang-Hui He, C. Vafa, Kristian D. Kennaway, 2005, hep-th/0511287.

Entropic principle and asymptotic freedom

C. Vafa, S. Gukov, K. Saraikin, 2005, hep-th/0509109.

EXTENDING MIRROR CONJECTURE TO CALABI–YAU WITH BUNDLES

C. Vafa, 1998, hep-th/9804131.

Black hole attractors and the topological string

H. Ooguri, C. Vafa, A. Strominger, 2004, hep-th/0405146.

E‐String Theory on Riemann Surfaces

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2017, 1709.02496.

De Sitter Space and the Swampland

Hirosi Ooguri, Georges Obied, Cumrun Vafa, 2018, 1806.08362.

Fine tuning, sequestering, and the swampland

C. Vafa, J. Heckman, 2019, Physics Letters B.

2 1 M ay 2 01 9 Fine Tuning , Sequestering , and the Swampland

C. Vafa, J. Heckman, 2019 .

An O(16) × O(16) heterotic string

P. Ginsparg, G. Moore, C. Vafa, 1986 .

Non-supersymmetric AdS and the Swampland

H. Ooguri, C. Vafa, 2016, 1610.01533.

F-theory and the LHC: stau search

C. Vafa, J. Heckman, Jing Shao, 2010, 1001.4084.

Topological Gravity as Large N Topological Gauge Theory

R. Gopakumar, C. Vafa, 1998, hep-th/9802016.

Modular invariance and discrete torsion on orbifolds

C. Vafa, 1986 .

c = 1 string as the topological theory of the conifold

C. Vafa, D. Ghoshal, 1995, hep-th/9506122.

Two-dimensional black hole and singularities of CY manifolds

H. Ooguri, C. Vafa, 1995, hep-th/9511164.

A Perturbative Window into Non-Perturbative Physics

C. Vafa, R. Dijkgraaf, 2002, hep-th/0208048.

On geometry and matrix models

C. Vafa, R. Dijkgraaf, 2002, hep-th/0207106.

Moduli Stabilization in Non-Geometric Backgrounds

C. Vafa, J. Walcher, K. Becker, 2006, hep-th/0611001.

Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions

C. Vafa, P. Sulkowski, R. Dijkgraaf, 2007, 0709.4446.

Homological mirror symmetry with higher products

S. Yau, C. Vafa, 2001 .

The FL bound and its phenomenological implications

C. Vafa, M. Montero, G. Venken, 2021, Journal of High Energy Physics.

Holography and the KKLT Scenario

C. Vafa, Kai Xu, Severin Lüst, 2022, 2204.07171.

G2 holonomy, Taubes’ construction of Seiberg-Witten invariants and superconducting vortices

C. Vafa, S. Cecotti, Chris Gerig, 2019, Journal of High Energy Physics.

The dark dimension and the Swampland

C. Vafa, I. Valenzuela, M. Montero, 2022, Journal of High Energy Physics.

Compactness of brane moduli and the String Lamppost Principle in d > 6

C. Vafa, Alek Bedroya, M. Montero, 2021, Journal of High Energy Physics.

F-theory, GUTs, and the weak scale

C. Vafa, J. Heckman, 2008, 0809.1098.

UvA-DARE (Digital Academic Quantum Geometry of Refined Topological Strings

Miranda C. N. Cheng, Miranda C N Cheng, D. Krefl, 2012 .

Quaternion-Kahler spaces, hyperkahler cones, and the c-map

M. Roček, C. Vafa, S. Vandoren, 2006, math/0603048.

Hypermultiplets and topological strings

M. Roček, C. Vafa, S. Vandoren, 2005, hep-th/0512206.

Tensor modes from a primordial Hagedorn phase of string cosmology.

C. Vafa, A. Nayeri, R. Brandenberger, 2006, Physical review letters.

Superstrings in the Early Universe

C. Vafa, R. Brandenberger, 1989 .

Exact results for N=2 compactifications of heterotic strings

S. Kachru, C. Vafa, 1995, hep-th/9505105.

The Footprint of F-theory at the LHC

C. Vafa, G. Kane, J. Heckman, 2009, 0903.3609.

From F-theory GUTs to the LHC

C. Vafa, J. Heckman, 2008, 0809.3452.

Compactifications of F-theory on Calabi-Yau threefolds. (I)

C. Vafa, D. Morrison, 1996, hep-th/9602114.

UvA-DARE (Digital Academic Repository) Non-perturbative topological strings and conformal blocks

Miranda C. N. Cheng, Miranda C N Cheng, C. Vafa, 2011 .

Non-perturbative topological strings and conformal blocks

Miranda C. N. Cheng, Miranda C N Cheng, C. Vafa, 2010, 1010.4573.

Tensor modes from a primordial Hagedorn phase of string cosmology.

C. Vafa, A. Nayeri, R. Brandenberger, 2006, Physical review letters.

Baby Universes and String Theory

R. Gopakumar, H. Ooguri, C. Vafa, 2006 .

Baby universes in string theory

R. Gopakumar, H. Ooguri, C. Vafa, 2005, hep-th/0504221.

Dark dimension gravitons as dark matter

C. Vafa, M. Montero, G. Obied, 2022, Journal of High Energy Physics.

Quantum foam and topological strings

A. Okounkov, C. Vafa, A. Iqbal, 2003, hep-th/0312022.

SCFTs, Holography, and Topological Strings

C. Vafa, Hee-Cheol Kim, K. Ohmori, 2019, 1905.00116.

Geometric engineering, mirror symmetry and 6d10→4dN=2$$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$

C. Vafa, M. Zotto, Dan Xie, 2015 .

Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2

C. Vafa, M. Zotto, Dan Xie, 2015, 1504.08348.

Atomic classification of 6D SCFTs

Tom Rudelius, C. Vafa, J. Heckman, 2015, 1502.05405.

Geometric Engineering, Mirror Symmetry

C. Vafa, M. Zotto, Dan Xie, 2015 .

Strings of Minimal 6d SCFTs

C. Vafa, Babak Haghighat, A. Klemm, 2014, 1412.3152.

Geometric engineering of quantum field theories

S. Katz, C. Vafa, A. Klemm, 1996, hep-th/9609239.

Holomorphic anomalies in topological field theories

H. Ooguri, C. Vafa, S. Cecotti, 1993 .

Parity Conservation in Quantum Chromodynamics

E. Witten, C. Vafa, 1984 .

Mirror Transform and String Theory

C. Vafa, 1994, hep-th/9403151.

Calabi-Yau manifolds and renormalization group flows

C. Vafa, B. Greene, N. Warner, 1989 .

A Strong coupling test of S duality

E. Witten, C. Vafa, 1994, hep-th/9408074.

Rational Conformal Field Theories and Complex Multiplication

C. Vafa, S. Gukov, 2002, hep-th/0203213.

Global anomalies and geometric engineering of critical theories in six-dimensions

C. Vafa, M. Bershadsky, 1997, hep-th/9703167.

Quantum Calabi-Yau and Classical Crystals

A. Okounkov, N. Reshetikhin, C. Vafa, 2003, hep-th/0309208.

Dual string pairs with N = 1 and N = 2 supersymmetry in four dimensions

E. Witten, C. Vafa, 1995, hep-th/9507050.

Punctures for theories of class SΓ$$ {\mathcal{S}}_{\varGamma } $$

Tom Rudelius, C. Vafa, J. Heckman, 2016, 1609.01281.

Eigenvalue inequalities for fermions in gauge theories

E. Witten, C. Vafa, 1984 .

Hypermultiplets and topological strings

M. Roček, C. Vafa, S. Vandoren, 2005, hep-th/0512206.

Superconformal partition functions and non-perturbative topological strings

C. Vafa, G. Lockhart, 2012, Journal of High Energy Physics.

On the Geometry of the String Landscape and the Swampland

H. Ooguri, C. Vafa, 2006, hep-th/0605264.

Entropic principle and asymptotic freedom

C. Vafa, S. Gukov, K. Saraikin, 2005, hep-th/0509109.

Lawrence Berkeley National Laboratory Recent Work Title Knot invariants and topological strings Permalink

H. Ooguri, C. Vafa, 2004 .

M theory, topological strings and spinning black holes

S. Katz, C. Vafa, A. Klemm, 1999, hep-th/9910181.

On orbifolds with discrete torsion

E. Witten, C. Vafa, 1994, hep-th/9409188.

A geometric realization of confinement

C. Vafa, B. Greene, D. Morrison, 1996, hep-th/9608039.

Supersymmetric Partition Functions and a String Theory in 4 Dimensions

C. Vafa, 2012, 1209.2425.

Crystal Melting and Black Holes

C. Vafa, J. Heckman, 2006, hep-th/0610005.

A one-loop test of string duality

E. Witten, C. Vafa, 1995, hep-th/9505053.

Topological M-theory as unification of form theories of gravity

C. Vafa, R. Dijkgraaf, A. Neitzke, 2004, hep-th/0411073.

Disk Instantons, Mirror Symmetry and the Duality Web

C. Vafa, M. Aganagic, A. Klemm, 2001, hep-th/0105045.

Disk Instantons, Mirror Symmetry and the Duality Web

C. Vafa, M. Aganagic, A. Klemm, 2002 .

G(2) manifolds, mirror symmetry and geometric engineering

C. Vafa, M. Aganagic, Mina Aganagic, 2001, hep-th/0110171.

Superstrings and manifolds of exceptional holonomy

C. Vafa, S. Shatashvili, 1994, hep-th/9407025.

BPS microstates and the open topological string wave function

C. Vafa, M. Aganagic, A. Neitzke, 2005, hep-th/0504054.

Two Dimensional Yang-Mills, Black Holes and Topological Strings

C. Vafa, 2004, hep-th/0406058.

All Loop Topological String Amplitudes from Chern-Simons Theory

C. Vafa, M. Aganagic, M. Mariño, 2002, hep-th/0206164.

All loop N = 2 string amplitudes

H. Ooguri, C. Vafa, 1995, hep-th/9505183.

N = 4 topological strings

C. Vafa, N. Berkovits, 1994, hep-th/9407190.

SELF-DUALITY AND N=2 STRING MAGIC

H. Ooguri, C. Vafa, 1990 .

D-Branes And Mirror Symmetry

C. Vafa, K. Hori, A. Iqbal, 2000, hep-th/0005247.

Toward classification of conformal theories

C. Vafa, 1988 .

Matrix model as a mirror of Chern-Simons theory

C. Vafa, M. Aganagic, A. Klemm, 2002, hep-th/0211098.

Geometric origin of Montonen-Olive duality

C. Vafa, 1997, hep-th/9707131.

Instantons on D-branes

C. Vafa, 1995, hep-th/9512078.

On The Finiteness of 6d Supergravity Landscape

C. Vafa, Houri-Christina Tarazi, 2021, 2106.10839.

Theta-problem and the String Swampland

C. Vafa, S. Cecotti, 2018, 1808.03483.

Non-supersymmetric black holes and topological strings

C. Vafa, K. Saraikin, 2007, hep-th/0703214.

Topological strings and their physical applications

C. Vafa, A. Neitzke, Andrew Neitzke, 2004, hep-th/0410178.

Black holes and Calabi-Yau threefolds

C. Vafa, 1997, hep-th/9711067.

On domain walls of N=1 supersymmetric Yang-Mills in four-dimensions

B. Acharya, C. Vafa, 2001, hep-th/0103011.

Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings

H. Ooguri, C. Vafa, M. Aganagic, 2004, hep-th/0411280.

M-Theory and Topological Strings--II

R. Gopakumar, C. Vafa, 1998, hep-th/9812127.

A stringy test of the fate of the conifold

C. Vafa, 1995, hep-th/9505023.

Fusing E-strings to heterotic strings: E+E→H

C. Vafa, Babak Haghighat, G. Lockhart, 2014 .

E + E $\rightarrow$ H

C. Vafa, Babak Haghighat, G. Lockhart, 2014, 1406.0850.

Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings

H. Ooguri, C. Vafa, M. Aganagic, 2004, hep-th/0411280.

Dual pairs of type II string compactification

C. Vafa, A. Sen, 1995, hep-th/9508064.

4d N=1 from 6d (1,0)

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2016, 1610.09178.

BPS Wall Crossing and Topological Strings

C. Vafa, S. Cecotti, 2009, 0910.2615.

BPS Structure of Argyres-Douglas Superconformal Theories

C. Vafa, A. Shapere, 1999, hep-th/9910182.

Gas of D-branes and Hagedorn density of BPS states

C. Vafa, 1995, hep-th/9511088.

Fivebranes and 3-manifold homology

C. Vafa, S. Gukov, P. Putrov, 2016, 1602.05302.

M-Strings

C. Vafa, A. Iqbal, Babak Haghighat, 2014, Communications in Mathematical Physics.

Moduli Stabilization in Non-Geometric Backgrounds

C. Vafa, J. Walcher, K. Becker, 2006, hep-th/0611001.

On the Worldsheet Derivation of Large N Dualities for the Superstring

H. Ooguri, C. Vafa, N. Berkovits, 2003, hep-th/0310118.

Perturbative derivation of mirror symmetry

C. Vafa, M. Aganagic, Mina Aganagic, 2002, hep-th/0209138.

Orientifolds, mirror symmetry and superpotentials

B. Acharya, C. Vafa, K. Hori, 2002, hep-th/0202208.

Mirror Symmetry and Closed String Tachyon Condensation

C. Vafa, 2001, hep-th/0111051.

A mysterious duality

C. Vafa, A. Iqbal, A. Neitzke, 2001, hep-th/0111068.

An M theory flop as a large N duality

M. Atiyah, J. Maldacena, C. Vafa, 2000, hep-th/0011256.

Mirror symmetry, D-branes and counting holomorphic discs

C. Vafa, M. Aganagic, Mina Aganagic, 2000, hep-th/0012041.

HUTP-03 / A 078 IHES / P / 03 / 65 ITEP-TH-60 / 03 Quantum Foam and Topological Strings

A. Okounkov, C. Vafa, A. Iqbal, 2022 .

TOPOLOGICAL LANDAU-GINZBURG MODELS

C. Vafa, 1991 .

N=1 supersymmetry, deconstruction, and bosonic gauge theories

C. Vafa, R. Dijkgraaf, 2003, hep-th/0302011.

Superstrings and topological strings at large N

C. Vafa, 2000, hep-th/0008142.

tt* Geometry and a Twistorial Extension of Topological Strings

C. Vafa, 2014, 1402.2674.

Summing Up D-Instantons

C. Vafa, 2013 .

Topological-anti-topological fusion

C. Vafa, S. Cecotti, 1991 .

Framed knots at large N

C. Vafa, M. Mariño, 2001, hep-th/0108064.

Instantons and SUSY breaking in F-theory

C. Vafa, J. Heckman, J. Marsano, 2008, 0808.1286.

Holography and the KKLT scenario

C. Vafa, Severin Lüst, Max Wiesner, 2022, Journal of High Energy Physics.

Geometry of 6D RG flows

Tom Rudelius, C. Vafa, J. Heckman, 2015, 1505.00009.

Geometry of 6D RG flows

Tom Rudelius, C. Vafa, J. Heckman, 2015, Journal of High Energy Physics.

Knots, links and branes at large N

C. Vafa, M. Mariño, J. Labastida, 2000, hep-th/0010102.

Categorical mirror symmetry in the elliptic curve

S. Yau, C. Vafa, 2001 .

Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations

S. Yau, C. Vafa, 2001 .

Electroweak symmetry breaking in the DSSM

C. Vafa, J. Heckman, Piyush Kumar, 2011, 1108.3849.

Pure supersymmetric AdS and the Swampland

M. Roček, C. Vafa, M. Montero, 2022, Journal of High Energy Physics.

Phase structure of a brane/anti-brane system at large N

C. Vafa, J. Heckman, Jihye Seo, 2007, hep-th/0702077.

Lectures on Strings and Dualities

C. Vafa, 1997, hep-th/9702201.

6d Conformal matter

C. Vafa, J. Heckman, M. Zotto, 2014, 1407.6359.

Matter from geometry

S. Katz, C. Vafa, 1996, hep-th/9606086.

On low rank classical groups in string theory, gauge theory and matrix models

C. Vafa, K. Intriligator, Per Kraus, 2003, hep-th/0311181.

6d string chains

Joonho Kim, C. Vafa, Abhijit Gadde, 2015, 1504.04614.

Topological Mirrors and Quantum Rings

C. Vafa, 1991, hep-th/9111017.

String expansion as large N expansion of gauge theories

C. Vafa, M. Bershadsky, Zurab Kakushadze, 1998, hep-th/9803076.

Topological Strings and Integrable Hierarchies

C. Vafa, M. Aganagic, R. Dijkgraaf, 2003, hep-th/0312085.

M-theory and a topological string duality

C. Vafa, E. Verlinde, R. Dijkgraaf, 2006, hep-th/0602087.

N=2 strings and the twistorial Calabi-Yau

C. Vafa, A. Neitzke, Andrew Neitzke, 2004, hep-th/0402128.

Unifying Themes in Topological Field Theories

C. Vafa, 2000, hep-th/0005180.

On the classification of 6D SCFTs and generalized ADE orbifolds

C. Vafa, J. Heckman, D. Morrison, 2014, Journal of High Energy Physics.

Electroweak symmetry breaking in the DSSM

C. Vafa, J. Heckman, Piyush Kumar, 2012, Journal of High Energy Physics.

The conformal sector of F-theory GUTs

C. Vafa, J. Heckman, B. Wecht, 2011, 1103.3287.

An Exceptional Sector for F-theory GUTs

C. Vafa, J. Heckman, 2010, 1006.5459.

$ \mathcal{N} = 1 $ SCFTs from brane monodromy

C. Vafa, J. Heckman, B. Wecht, 2010, 1009.0017.

String theory origin of bipartite SCFTs

C. Vafa, J. Heckman, Dan Xie, 2013, Journal of High Energy Physics.

String theory origin of bipartite SCFTs

M. Yamazaki, C. Vafa, J. Heckman, 2012, 1211.4587.

Braids, Walls, and Mirrors

C. Vafa, S. Cecotti, Clay Córdova, 2011, 1110.2115.

Black Holes as Probes of Moduli Space Geometry

C. Vafa, M. Montero, Matilda Delgado, 2022, 2212.08676.

Finiteness and the swampland

C. Vafa, I. Valenzuela, M. Montero, 2021, Journal of Physics A: Mathematical and Theoretical.

The desert and the swampland

C. Vafa, I. Valenzuela, M. Montero, 2021, Journal of High Energy Physics.

Evidence for F theory

C. Vafa, 1996, hep-th/9602022.

Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds

S. Yau, C. Vafa, A. Shapere, 1990 .

Tangles, generalized Reidemeister moves, and three-dimensional mirror symmetry

C. Vafa, Babak Haghighat, Clay Córdova, 2014, Journal of High Energy Physics.

Tangles, generalized Reidemeister moves, and three-dimensional mirror symmetry

C. Vafa, Babak Haghighat, Clay Córdova, 2012, 1211.3730.

Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots

C. Vafa, M. Aganagic, Mina Aganagic, 2012, 1204.4709.

BPS Quivers and Spectra of Complete $${\mathcal{N} = 2}$$N=2 Quantum Field Theories

C. Vafa, S. Cecotti, Clay Córdova, 2011, 1109.4941.

Mirror symmetry and a G2 flop

C. Vafa, M. Aganagic, Mina Aganagic, 2001, hep-th/0105225.

Mirror symmetry and a G2 flop The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters

C. Vafa, M. Aganagic, Mina Aganagic, 2018 .

BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

C. Vafa, S. Cecotti, Clay Córdova, 2011 .

Branes and Fundamental Groups

R. Gopakumar, C. Vafa, 1997, hep-th/9712048.

The refined topological vertex

C. Vafa, A. Iqbal, C. Kozçaz, 2007, hep-th/0701156.

GUTs and exceptional branes in F-theory — II. Experimental predictions

C. Vafa, J. Heckman, C. Beasley, 2008, 0806.0102.

T-branes and monodromy

C. Vafa, J. Heckman, S. Cecotti, 2010, 1010.5780.

Strings on Orbifolds (Ii)

E. Witten, J. Harvey, C. Vafa, 1988 .

Interactions on Orbifolds

C. Vafa, S. Hamidi, 1987 .

On Four-Dimensional Gauge Theories from Type II Superstrings

C. Vafa, L. Dixon, V. Kaplunovsky, 1987 .

The C-deformation of gluino and non-planar diagrams

H. Ooguri, C. Vafa, 2003, hep-th/0302109.

Mirror Symmetry and Supermanifolds

C. Vafa, M. Aganagic, Mina Aganagic, 2004, hep-th/0403192.

Gravity Induced C-Deformation

H. Ooguri, C. Vafa, 2003, hep-th/0303063.

Geometry of N=2 strings

Hirosi Ooguri, Cumrun Vafa, H. Ooguri, 1991 .

Lectures on special Lagrangian submanifolds

S. Yau, C. Vafa, 2001 .

Brane brick models in the mirror

Rak-Kyeong Seong, C. Vafa, S. Franco, 2017, Journal of High Energy Physics.

Brane brick models in the mirror

Rak-Kyeong Seong, C. Vafa, S. Franco, 2016, 1609.01723.

M-Strings

C. Vafa, A. Iqbal, Babak Haghighat, 2013, 1305.6322.

2008 HUTP-01 / A 053 UTTG-1601 hep-th / 0111068 A Mysterious Duality

C. Vafa, A. Iqbal, A. Neitzke, 2009 .

Matrix models, geometric engineering and elliptic genera

C. Vafa, A. Iqbal, T. Hollowood, 2003, hep-th/0310272.

Towards a worldsheet derivation of the Maldacena conjecture

C. Vafa, N. Berkovits, 2007, 0711.1799.

The Topological Vertex

C. Vafa, M. Aganagic, A. Klemm, 2003, hep-th/0305132.

Worldsheet derivation of a large N duality

H. Ooguri, C. Vafa, 2002, hep-th/0205297.

On the Gauge Theory/Geometry Correspondence

R. Gopakumar, C. Vafa, 1998, hep-th/9811131.

hep-th / 0305132 CALT-68-2439 HUTP-03 / A 032 HU-EP-03 / 24 CERN-TH / 2003-111 The Topological Vertex

C. Vafa, M. Aganagic, A. Klemm, 2022 .

Chiral rings in N = 2 superconformal theories

Nicholas P. Warner, Wolfgang Lerche, Cumrun Vafa, 1989 .

Catastrophes and the classification of conformal theories

Nicholas P. Warner, Cumrun Vafa, C. Vafa, 1989 .

Chern-Simons theory and Wilson loops in the Brillouin zone

Shou-Cheng Zhang, C. Vafa, Biao Lian, 2016, 1610.05810.

ON THE UNIQUENESS OF STRING THEORY

C. Vafa, N. Berkovits, 1993, hep-th/9310170.

Integrable deformations and scattering matrices for the N = 2 supersymmetric discrete series

C. Vafa, P. Fendley, S. Mathur, 1990 .

Advanced Quantum Mechanics

C. Vafa, Yichen Shi, 2012 .

Yukawa Couplings in F-theory and Non-Commutative Geometry

Miranda C. N. Cheng, Miranda C N Cheng, C. Vafa, 2009, 0910.0477.

Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM

C. Vafa, D. Tong, Masazumi Honda, 2020, Journal of High Energy Physics.

R-Twisting and 4d/2d Correspondences

C. Vafa, S. Cecotti, A. Neitzke, 2010, 1006.3435.

Superconformal index, BPS monodromy and chiral algebras

C. Vafa, S. Cecotti, Wenbin Yan, 2015, 1511.01516.

Ising model andN=2 supersymmetric theories

C. Vafa, S. Cecotti, 1993 .

Twisted circle compactifications of 6d SCFTs

C. Vafa, Hee-Cheol Kim, Lakshya Bhardwaj, 2019, Journal of High Energy Physics.

Swampland Constraints on 5d N = 1 Supergravity

S. Katz, C. Vafa, Hee-Cheol Kim, 2020 .

BPS Degeneracies and Superconformal Index in Diverse Dimensions

C. Vafa, A. Iqbal, Amer Iqbal, 2012, 1210.3605.

Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems

C. Vafa, R. Dijkgraaf, 2009, 0909.2453.

UW / PT-03-33 ITFA-2003-58 CERN-TH / 2003-290 MAD-TH-035 HUTP-03 / A 083 Topological Strings and Integrable Hierarchies

C. Vafa, M. Aganagic, R. Dijkgraaf, 2008 .

On classification ofN=2 supersymmetric theories

C. Vafa, S. Cecotti, 1993 .

BPS spectra and 3-manifold invariants

C. Vafa, S. Gukov, Du Pei, 2017, Journal of Knot Theory and Its Ramifications.

Quantum geometry of refined topological strings

Miranda C. N. Cheng, Miranda C N Cheng, D. Krefl, 2011, 1105.0630.

The refined topological vertex

C. Vafa, A. Iqbal, C. Kozçaz, 2007, hep-th/0701156.

Extended supersymmetric moduli space and a SUSY/non-SUSY duality

C. Vafa, M. Aganagic, C. Beem, 2008, 0804.2489.

Geometrically Induced Metastability and Holography

C. Vafa, M. Aganagic, C. Beem, 2006, hep-th/0610249.

Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Title Geometrically induced metastability and holography

C. Vafa, M. Aganagic, C. Beem, 2008 .

Fractional Quantum Hall Effect and M-Theory

C. Vafa, 2015, 1511.03372.

Perturbative analysis of gauged matrix models

C. Vafa, V. Kazakov, R. Dijkgraaf, 2002, hep-th/0210238.

Hartle–Hawking Wave-Function for Flux Compactifications: the Entropic Principle

H. Ooguri, C. Vafa, E. Verlinde, 2005, hep-th/0502211.

Refined Topological Branes

C. Vafa, Shamil Shakirov, Wenbin Yan, 2018, Communications in Mathematical Physics.

Orbifolds of M-strings

C. Vafa, Babak Haghighat, G. Lockhart, 2013, 1310.1185.

Quantum geometry of refined topological strings

Miranda C. N. Cheng, Miranda C N Cheng, D. Krefl, 2012, Journal of High Energy Physics.

Large N Duality, Lagrangian Cycles, and Algebraic Knots

C. Vafa, V. Shende, D. Diaconescu, 2011, 1111.6533.

UvA-DARE ( Digital Academic Repository ) Quantum Geometry of Refined Topological Strings

Miranda C. N. Cheng, Miranda C N Cheng, D. Krefl, 2012 .

Link Homologies and the Refined Topological Vertex

C. Vafa, A. Iqbal, S. Gukov, 2007, 0705.1368.

Khovanov-Rozansky Homology and Topological Strings

C. Vafa, A. Schwarz, S. Gukov, 2004, hep-th/0412243.

The Glueball Superpotential

C. Vafa, N. Warner, K. Intriligator, 2003, hep-th/0304271.

Non-Abelian conifold transitions and N = 4 dualities in three dimensions

H. Ooguri, C. Vafa, K. Hori, 1997, hep-th/9705220.

Geometry of N = 1 dualities in four dimensions

H. Ooguri, C. Vafa, 1997, hep-th/9702180.

Geometrically Induced Phase Transitions at Large N

C. Vafa, J. Heckman, 2007, 0707.4011.

Matrix models, topological strings, and supersymmetric gauge theories

C. Vafa, R. Dijkgraaf, 2002, hep-th/0206255.

N=1 and N=2 Geometry from Fluxes

C. Vafa, F. Cachazo, 2002, hep-th/0206017.

The String Landscape, the Swampland, and the Missing Corner

F. Carta, C. Vafa, T. D. Brennan, 2017, 1711.00864.

Large N strong coupling dynamics in nonsupersymmetric orbifold field theories

C. Vafa, R. Dijkgraaf, A. Neitzke, 2002, hep-th/0211194.

SO and Sp Chern-Simons at large N

C. Vafa, S. Sinha, 2000, hep-th/0012136.

Knot Invariants and Topological Strings

H. Ooguri, C. Vafa, 1999, hep-th/9912123.

A CFT distance conjecture

C. Vafa, I. Valenzuela, Eric Perlmutter, 2020, Journal of High Energy Physics.

D-type conformal matter and SU/USp quivers

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2018, Journal of High Energy Physics.

F-theory and the Classification of Little Strings

Tom Rudelius, C. Vafa, J. Heckman, 2015, 1511.05565.

Cosmology of F-theory GUTs

C. Vafa, A. Tavanfar, J. Heckman, 2008, 0812.3155.

GUTs and exceptional branes in F-theory — I

C. Vafa, J. Heckman, C. Beasley, 2008, 0802.3391.

Trans-Planckian censorship and inflationary cosmology

C. Vafa, Alek Bedroya, R. Brandenberger, 2019, Physical Review D.

Trans-Planckian Censorship and the Swampland

C. Vafa, Alek Bedroya, 2019, Journal of High Energy Physics.

Distance and de Sitter conjectures on the Swampland

H. Ooguri, C. Vafa, E. Palti, 2018, Physics Letters B.

On the cosmological implications of the string Swampland

P. Steinhardt, C. Vafa, P. Agrawal, 2018, Physics Letters B.

Producing a scale-invariant spectrum of perturbations in a Hagedorn phase of string cosmology.

C. Vafa, A. Nayeri, R. Brandenberger, 2005, Physical review letters.

F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy

C. Vafa, J. Heckman, V. Bouchard, 2009, 0904.1419.

Flavor hierarchy from F-theory

C. Vafa, J. Heckman, 2008, 0811.2417.

String gas cosmology and structure formation

C. Vafa, A. Nayeri, R. Brandenberger, 2006, hep-th/0608121.

Cascading to the MSSM

C. Vafa, J. Heckman, H. Verlinde, 2007, 0711.0387.

The String Landscape and the Swampland

C. Vafa, 2005, hep-th/0509212.

6d Conformal matter

C. Vafa, J. Heckman, M. Del Zotto, 2015, Journal of High Energy Physics.

6 d Conformal matter

C. Vafa, J. Heckman, M. Zotto, 2015 .

AdS and the Swampland

C. Vafa, E. Palti, D. Lust, 2019, Physics Letters B.

Negative branes, supergroups and the signature of spacetime

C. Vafa, R. Dijkgraaf, B. Heidenreich, 2016, 1603.05665.

c-Theorem and the topology of 2D QFTs

C. Vafa, 1988 .

Conformal theories and punctured surfaces

C. Vafa, 1987 .

The operator algebra of orbifold models

Robbert Dijkgraaf, Erik Verlinde, Herman Verlinde, 1989 .

tt* Geometry and Closed String Tachyon Potential

C. Vafa, A. Dabholkar, 2001, hep-th/0111155.

Fermionic Strings in the Operator Formalism

P. Nelson, C. Vafa, César Gómez, 1988 .

Bosonization on higher genus Riemann surfaces

P. Nelson, G. Moore, C. Vafa, 1987 .

Brane/anti-Brane Systems and U(N|M) Supergroup

C. Vafa, 2001, hep-th/0101218.

Strings in the operator formalism

G. Moore, C. Vafa, César Gómez, 1988 .

Branes and toric geometry

C. Vafa, N. Leung, 1997, hep-th/9711013.

$\mathcal{N} = 2$ quantum field theories and their BPS quivers

C. Vafa, S. Cecotti, Clay Córdova, 2011, 1112.3984.

A New supersymmetric index

C. Vafa, P. Fendley, K. Intriligator, 1992, hep-th/9204102.

Global anomalies on orbifolds

D. Freed, C. Vafa, 1988 .

Quantum Symmetries of String Vacua

Cumrun Vafa, C. Vafa, 1989 .

Asymmetric orbifolds: Path integral and operator formulations

C. Vafa, K. Narain, M. H. Sarmadi, 1991 .

Operator formulation on Riemann surfaces

C. Vafa, 1987 .

Erratum to: On the classification of 6D SCFTs and generalized ADE orbifolds

C. Vafa, J. Heckman, D. Morrison, 2015 .

Towards Classification of 5d SCFTs: Single Gauge Node

C. Vafa, Gabi Zafrir, Hee-Cheol Kim, 2017, 1705.05836.

On geometric classification of 5d SCFTs

S. Katz, C. Vafa, Hee-Cheol Kim, 2018, Journal of High Energy Physics.

4-manifolds and topological modular forms

C. Vafa, S. Gukov, Du Pei, 2018, Journal of High Energy Physics.

Classification of Complete N = 2 Supersymmetric Theories in 4 Dimensions

C. Vafa, S. Cecotti, 2011, 1103.5832.

Four-dimensional N=4 SYM theory and the swampland

C. Vafa, Hee-Cheol Kim, Houri-Christina Tarazi, 2020 .

Branes and the swampland

C. Vafa, G. Shiu, Hee-Cheol Kim, 2019, Physical Review D.

Topological Chern-Simons/Matter Theories

C. Vafa, M. Aganagic, K. Costello, 2017, 1706.09977.

U-Manifolds

C. Vafa, Alok Kumar, 1996, hep-th/9611007.

Toroidal compactification of non-supersymmetric heterotic strings

P. Ginsparg, C. Vafa, 1987 .

Negative branes, supergroups and the signature of spacetime

C. Vafa, R. Dijkgraaf, B. Heidenreich, 2018, Journal of High Energy Physics.

Non-Unitary Holography

C. Vafa, 2014, 1409.1603.

Supersymmetric protection and the Swampland

C. Vafa, E. Palti, T. Weigand, 2020, Journal of High Energy Physics.

Compactifications of ADE conformal matter on a torus

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2018, Journal of High Energy Physics.

On geometric classification of 5d SCFTs

S. Katz, C. Vafa, Hee-Cheol Kim, 2018, 1801.04036.

4d N=1$$ \mathcal{N}=1 $$ from 6d (1, 0)

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2017 .

A CRITICAL MATRIX MODEL AT c=1

C. Vafa, J. Distler, 1991 .

Theta functions, modular invariance, and strings

Cumrun Vafa, G. Moore, C. Vafa, 1986 .

Non-Holomorphic Cycles and Non-BPS Black Branes

S. Yau, C. Vafa, A. Sheshmani, 2021, Communications in Mathematical Physics.

Cobordism Classes and the Swampland

C. Vafa, J. McNamara, 2019, 1909.10355.

String vacua and orbifoldized LG models

Cumrun Vafa, C. Vafa, 1989 .

LANDAU-GINZBURG ORBIFOLDS

C. Vafa, K. Intriligator, 1990 .

Baby Universes, Holography, and the Swampland

C. Vafa, J. McNamara, 2020, 2004.06738.

tt* geometry in 3 and 4 dimensions

C. Vafa, S. Cecotti, D. Gaiotto, 2013, 1312.1008.

Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity

C. Vafa, R. Dijkgraaf, 2007, 0711.1932.

Bosonization in arbitrary genus

P. Nelson, G. Moore, C. Vafa, 1986 .

Stringy wave function for an S 3 cosmology

C. Vafa, S. Gukov, K. Saraikin, 2005, hep-th/0505204.

Hartle-Hawking WaveFunction for Flux Compactifications

H. Ooguri, C. Vafa, E. Verlinde, 2005 .

ITEP-TH-55 / 05 The Entropic Principle and Asymptotic Freedom

C. Vafa, S. Gukov, K. Saraikin, 2009 .

8d supergravity, reconstruction of internal geometry and the Swampland

C. Vafa, Yuta Hamada, 2021, Journal of High Energy Physics.

On N=1 Yang-Mills in Four Dimensions

C. Vafa, 1998, hep-th/9801139.

Type I' and real algebraic geometry

C. Vafa, F. Cachazo, 2000, hep-th/0001029.

Lectures on the string landscape and the Swampland

C. Vafa, Alek Bedroya, Nathan B. Agmon, 2022, 2212.06187.

Seiberg-Witten Invariants and Superconducting Vortices

C. Vafa, S. Cecotti, Chris Gerig, 2021 .

Derived categories for the working mathematician

S. Yau, C. Vafa, 2001 .

Topological Strings, D-Model, and Knot Contact Homology

C. Vafa, T. Ekholm, Lenhard L. Ng, 2013, 1304.5778.

Geometric engineering of N = 1 quantum field theories

S. Katz, C. Vafa, 1996, hep-th/9611090.

Knots , Links and Branes at Large

C. Vafa, M. Mariño, J. Labastida, 2000 .

Floer homology and mirror symmetry I

S. Yau, C. Vafa, 2001 .

Lagrangian torus fibration of quintic hypersurfaces I: Fermat quintic case

S. Yau, C. Vafa, 2001 .

N = 1 dualities of SO and USp gauge theories and T-duality of string theory

C. Vafa, B. Zwiebach, 1997, hep-th/9701015.

Global anomalies on orbifolds

D. Freed, C. Vafa, 1987 .

D-branes as defects in the Calabi-Yau crystal

C. Vafa, N. Saulina, 2004, hep-th/0404246.

Mirror symmetry and supermanifold

C. Vafa, M. Aganagic, Mina Aganagic, 2004 .

Elliptic genus of E-strings

Joonho Kim, C. Vafa, Jaemo Park, 2017, Journal of High Energy Physics.

Elliptic genus of E-strings

Joonho Kim, C. Vafa, Jaemo Park, 2014, 1411.2324.

Geometric Physics

C. Vafa, 1998, hep-th/9810149.

F-theory and N = 1 SCFTs in four dimensions

C. Vafa, D. Morrison, 2016 .

H0 tension, swampland conjectures, and the epoch of fading dark matter

C. Vafa, P. Agrawal, G. Obied, 2019, 1906.08261.

On Upper Bounds in Dimension Gaps of CFT's

Tristan C. Collins, S. Yau, C. Vafa, 2022, 2201.03660.

Bounds on Field Range for Slowly Varying Positive Potentials

C. Vafa, Max Wiesner, David H. Wu, 2023, 2305.07701.

Bounds on Species Scale and the Distance Conjecture

C. Vafa, Damian van de Heisteeg, Max Wiesner, 2023, Fortschritte der Physik.

Black holes as probes of moduli space geometry

C. Vafa, M. Montero, Matilda Delgado, 2022, Journal of High Energy Physics.

Moduli-dependent Species Scale

C. Vafa, Max Wiesner, David H. Wu, 2022, 2212.06841.

Type IIB E4H4g−4 conjectures

C. Vafa, N. Berkovits, 1998, hep-th/9803145.

D-type conformal matter and SU/USp quivers

Shlomo S. Razamat, C. Vafa, Gabi Zafrir, 2018, Journal of High Energy Physics.

Swampland constraints on 5d $$ \mathcal{N} $$ = 1 supergravity

S. Katz, C. Vafa, Hee-Cheol Kim, 2020, 2004.14401.

Swampland constraints on 5 d N = 1 supergravity

S. Katz, C. Vafa, Hee-Cheol Kim, 2020 .

F-Theory, spinning black holes and multi-string branches

C. Vafa, S. Murthy, S. Vandoren, 2015, 1509.00455.

Quadrality for supersymmetric matrix models

Rak-Kyeong Seong, C. Vafa, S. Franco, 2017, Journal of High Energy Physics.

Quadrality for supersymmetric matrix models

Rak-Kyeong Seong, C. Vafa, S. Franco, 2016, 1612.06859.

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

H. Ooguri, C. Vafa, C. Vafa, 1993, hep-th/9309140.

Microscopic origin of the Bekenstein-Hawking entropy

C. Vafa, A. Strominger, C. Vafa, 1996, hep-th/9601029.

Second quantized mirror symmetry

J. A. Harvey, J. Harvey, S. Ferrara, 1995, hep-th/9505162.

Astrophysical constraints on decaying dark gravitons

J. Law-Smith, C. Vafa, A. Prabhu, 2023, Journal of High Energy Physics.

Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM

C. Vafa, D. Tong, Masazumi Honda, 2019, Journal of High Energy Physics.

Prepared for submission to JHEP On Geometric Classification of 5 d SCFTs

C. Vafa, Patrick Jefferson, 2018 .

D-branes and topological field theories

C. Vafa, C. Vafa, V. Sadov, 1995, hep-th/9511222.

Macroscopic and microscopic entropy of near-extremal spinning black holes

C. Vafa, R. Myers, D. Lowe, 1996, hep-th/9603078.

CFT's from Calabi–Yau four-folds

E. Witten, C. Vafa, C. Vafa, 1999, hep-th/9906070.

F-Theory, spinning black holes and multi-string branches

C. Vafa, S. Murthy, S. Vandoren, 2016, Journal of High Energy Physics.

4-manifolds and topological modular forms

C. Vafa, S. Gukov, Du Pei, 2018, Journal of High Energy Physics.

BOSONIC STRING ALGEBRAS

E. Witten, C. Vafa, 1985 .

Quantum geometry of refined topological strings

Miranda C. N. Cheng, D. Krefl, C. Vafa, 2011, Journal of High Energy Physics.

E strings and N=4 topological Yang-Mills theories

C. Vafa, J. Minahan, N. Warner, 1998, hep-th/9802168.

Small instantons, del Pezzo surfaces and type I′ theory

S. Katz, C. Vafa, C. Vafa, 1996, hep-th/9609071.

BPS States of Exceptional Non-Critical Strings

C. Vafa, C. Vafa, A. Klemm, 1996, hep-th/9607139.

Geometric singularities and enhanced gauge symmetries

S. Kachru, C. Vafa, C. Vafa, 1996, hep-th/9605200.

Trans-Planckian Censorship and the Swampland

C. Vafa, Alek Bedroya, 2019, Journal of High Energy Physics.

S-duality and topological strings

H. Ooguri, C. Vafa, C. Vafa, 2004, hep-th/0403167.

RR flux on Calabi–Yau and partial supersymmetry breaking

C. Vafa, C. Vafa, T. Taylor, 1999, hep-th/9912152.

Constraints on low-dimensional string compactifications

E. Witten, C. Vafa, C. Vafa, 1996, hep-th/9606122.

Self-dual strings and N = 2 supersymmetric field theory

C. Vafa, N. Warner, A. Klemm, 1996, hep-th/9604034.

Nonperturbative results on the point particle limit of N=2 heterotic string compactifications

S. Kachru, C. Vafa, C. Vafa, 1995, hep-th/9508155.

Elements of string cosmology

C. Vafa, C. Vafa, A. Tseytlin, 1991, hep-th/9109048.

Dark Dimension and Decaying Dark Matter Gravitons

C. Vafa, C. Dvorkin, G. Obied, 2023, 2311.05318.

Mirror Symmetry

C. Vafa, K. Hori, 2000, hep-th/0002222.

M-Theory and Topological Strings--I

R. Gopakumar, C. Vafa, 1998, hep-th/9809187.

M theory and topological strings. 2.

R. Gopakumar, C. Vafa, 1998 .

A Geometric unification of dualities

S. Katz, C. Vafa, C. Vafa, 2001, hep-th/0110028.

A large N duality via a geometric transition

C. Vafa, C. Vafa, K. Intriligator, 2001, hep-th/0103067.

Local mirror symmetry at higher genus

S. Yau, C. Vafa, 2001 .

On classification ofN=2 supersymmetric theories

C. Vafa, S. Cecotti, 1992, hep-th/9211097.

Exact results for supersymmetric sigma models.

C. Vafa, S. Cecotti, Vafa, 1991, Physical review letters.

Towards classification of 5d SCFTs: Single gauge node

C. Vafa, Gabi Zafrir, Hee-Cheol Kim, 2017, SciPost Physics.

Quantum geometry of refined topological strings

Miranda C. N. Cheng, D. Krefl, C. Vafa, 2011, Journal of High Energy Physics.

Communications in Mathematical Physics Large N Duality , Lagrangian Cycles , and Algebraic Knots

C. Vafa, V. Shende, D. Diaconescu, 2013 .

US-FT-17 / 00 RUNHETC-2000-38 HUTP-00 / A 042 hep-th / 0010102 Knots , Links and Branes at Large

C. Vafa, M. Mariño, J. Labastida, 2022 .

c = 1 string as the topological theory of the conifold

C. Vafa, D. Ghoshal, 1995, hep-th/9506122.

Communications in Mathematical Physics BPS Quivers and Spectra of Complete N = 2 Quantum Field Theories

C. Vafa, S. Cecotti, Clay Córdova, 2013 .

On conformal field theories in four dimensions

C. Vafa, A. Lawrence, C. Vafa, 1998, hep-th/9803015.

Non-perturbative topological strings and conformal blocks

Miranda C. N. Cheng, C. Vafa, R. Dijkgraaf, 2010, 1010.4573.

The Penner Model and D = 1 String Theory

C. Vafa, J. Distler, 1991 .

Topological Gravity as the Early Phase of Our Universe

C. Vafa, P. Agrawal, S. Gukov, 2020, 2009.10077.

Swamplandish Unification of the Dark Sector

C. Vafa, 2024, 2402.00981.

Conformal Field Theory of AdS Background with Ramond-Ramond Flux

E. Witten, C. Vafa, C. Vafa, 1999, hep-th/9902098.

Puzzles at Large N

C. Vafa, 1998, hep-th/9804172.

Geometrically Induced Metastability and Holography

C. Vafa, Jihye Seo, Christopher Beem, 2006, hep-th/0610249.

Topological reduction of 4D SYM to 2D σ-models

C. Vafa, C. Vafa, V. Sadov, 1995, hep-th/9501096.

D strings on D manifolds

C. Vafa, C. Vafa, V. Sadov, 1995, hep-th/9510225.

N = 1 Supersymmetry, Deconstruction and Bosonic Gauge Theories

C. Vafa, R. Dijkgraaf, 2003 .

Perturbative computation of glueball superpotentials

M. Grisaru, C. Vafa, C. Vafa, 2002, hep-th/0211017.