Gauge Theories on ALE Space and Super Liouville Correlation Functions

[1]  A. Mironov,et al.  Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation , 2012 .

[2]  S. Pasquetti,et al.  3D-partition functions on the sphere: exact evaluation and mirror symmetry , 2011, 1105.2551.

[3]  D. Gaiotto.  Preprint Typeset in Jhep Style -hyper Version N = 2 Dualities , 2022 .

[4]  V. Pestun.  Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops , 2007, 0712.2824.

[5]  A. Mironov,et al.  On AGT relations with surface operator insertion and a stationary limit of beta-ensembles , 2011 .

[6]  A. Belavin,et al.  Instantons and 2d superconformal field theory , 2011, 1106.4001.

[7]  M. Yamazaki,et al.  Semiclassical analysis of the 3d/3d relation , 2011, 1106.3066.

[8]  G. Bonelli,et al.  Instantons on ALE spaces and super Liouville conformal field theories , 2011, 1106.2505.

[9]  B.Feigin,et al.  Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories , 2011, 1105.5800.

[10]  M. Yamazaki,et al.  3d partition function as overlap of wavefunctions , 2011, 1105.4390.

[11]  Daniel R. Gulotta,et al.  From necklace quivers to the F -theorem, operator counting, and T (U(N)) , 2011, 1105.2817.

[12]  G. Bonelli,et al.  Quantum Hitchin Systems via $${\beta}$$β-Deformed Matrix Models , 2011, 1104.4016.

[13]  S. Gukov,et al.  Vortex Counting and Lagrangian 3-Manifolds , 2010, 1006.0977.

[14]  U. Bruzzo,et al.  Poincaré Polynomial of Moduli Spaces of Framed Sheaves on (Stacky) Hirzebruch Surfaces , 2009, 0909.1458.

[15]  M. Yamazaki,et al.  SL(2, R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls , 2011 .

[16]  丸吉 一暢.  Deformed Prepotential, Quantum Integrable System and Liouville Field Theory , 2010 .

[17]  A.Morozov,et al.  On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles , 2010, 1011.4491.

[18]  L. Alday,et al.  Central charges of Liouville and Toda theories from M5-branes. , 2010, Physical review letters.

[19]  L. Alday,et al.  Affine SL(2) Conformal Blocks from 4d Gauge Theories , 2010, Letters in Mathematical Physics.

[20]  J. Teschner.  Quantization of the Hitchin moduli spaces, Liouville theory, and the geometric Langlands correspondence I , 2010, 1005.2846.

[21]  L. Hadasz,et al.  Proving the AGT relation for Nf = 0, 1, 2 antifundamentals , 2010, 1004.1841.

[22]  L. Hadasz,et al.  Recursive representation of the torus 1-point conformal block , 2009, 0911.2353.

[23]  G. Bonelli,et al.  Hitchin systems, N = 2 gauge theories and W-gravity , 2009, 0909.4031.

[24]  L. Alday,et al.  Liouville Correlation Functions from Four-Dimensional Gauge Theories , 2009, 0906.3219.

[25]  A. Litvinov,et al.  On AGT conjecture , 2009, 0912.0504.

[26]  L. Alday,et al.  Liouville/Toda central charges from M5-branes , 2009, 1106.1172.

[27]  Chiu-Chu Melissa Liu,et al.  The Nekrasov Conjecture for Toric Surfaces , 2008, 0808.0884.

[28]  R. Dijkgraaf,et al.  Instantons on ALE spaces and orbifold partitions , 2007, 0712.1427.

[29]  L. Hadasz,et al.  Elliptic recurrence representation of the N=1 Neveu–Schwarz blocks , 2007, 0711.1619.

[30]  V. Belavin.  On the N=1 super Liouville four-point functions , 2007, 0705.1983.

[31]  C. Vafa,et al.  Matrix models, geometric engineering and elliptic genera , 2003, hep-th/0310272.

[32]  C. Vafa,et al.  Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions , 2007, 0709.4446.

[33]  A. Belavin,et al.  Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector , 2007, hep-th/0703084.

[34]  L. Hadasz,et al.  Recursion representation of the Neveu-Schwarz superconformal block , 2006, hep-th/0611266.

[35]  R. J. Szabo,et al.  Black holes, instanton counting on toric singularities and q-deformed two-dimensional Yang–Mills theory , 2006, hep-th/0610155.

[36]  H. Nakajima.  Sheaves on ALE Spaces and Quiver Varieties , 2007 .

[37]  J. F. Morales,et al.  Instanton on toric singularities and black hole countings , 2006, hep-th/0610154.

[38]  Toru Sasaki.  $O(-2)$ Blow-up Formula via Instanton Calculus on $\hat{C^2/Z_2}$ and Weil Conjecture , 2006, hep-th/0603162.

[39]  N. Nekrasov.  Localizing gauge theories , 2006 .

[40]  A. Iqbal,et al.  The vertex on a strip , 2004, hep-th/0410174.

[41]  J. F. Morales,et al.  Multi instanton calculus on ALE spaces , 2004, hep-th/0406243.

[42]  K. Yoshioka,et al.  Lectures on instanton counting , 2003, math/0311058.

[43]  Kota Yoshioka,et al.  Instanton counting on blowup. I. 4-dimensional pure gauge theory , 2003, math/0306198.

[44]  Andrei Okounkov,et al.  Seiberg-Witten theory and random partitions , 2003, hep-th/0306238.

[45]  U. Bruzzo,et al.  Multi-instanton calculus and equivariant cohomology , 2002, hep-th/0211108.

[46]  R. Flume,et al.  AN ALGORITHM FOR THE MICROSCOPIC EVALUATION OF THE COEFFICIENTS OF THE SEIBERG–WITTEN PREPOTENTIAL , 2002, hep-th/0208176.

[47]  N. Nekrasov.  Seiberg-Witten prepotential from instanton counting , 2002, hep-th/0306211.

[48]  K. Hosomichi,et al.  Super-Liouville theory with boundary , 2002, hep-th/0202032.

[49]  R. Gopakumar,et al.  On the Gauge Theory/Geometry Correspondence , 1998, hep-th/9811131.

[50]  R. Gopakumar,et al.  M-Theory and Topological Strings--II , 1998, hep-th/9812127.

[51]  R. Poghossian.  Structure constants in the N = 1 super-Liouville field theory , 1997 .

[52]  R. Rashkov,et al.  Three-point correlation functions in N = 1 super Liouville theory , 1996 .

[53]  H. Nakajima.  Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras , 1994 .

[54]  E. Witten,et al.  A Strong coupling test of S duality , 1994, hep-th/9408074.

[55]  H. Nakajima,et al.  Yang-Mills instantons on ALE gravitational instantons , 1990 .