Physical Mathematics and the Future

These are some thoughts meant to accompany one of the summary talks at Strings2014, Princeton, June 27, 2014. This is a snapshot of a personal and perhaps heterodox view of the relation of Physics and Mathematics, together with some guesses about some of the directions forward in the field of Physical Mathematics. At least, this is my view as of July 21, 2014.

[1]  G. Segal.  Space and spaces , 2016 .

[2]  B. Janssens.  Loop groups , 2016 .

[3]  G. Moore,et al.  Semiclassical framed BPS states , 2015, 1512.08924.

[4]  E. Witten,et al.  Algebra of the Infrared: String Field Theoretic Structures in Massive ${\cal N}=(2,2)$ Field Theory In Two Dimensions , 2015, 1506.04087.

[5]  G. Moore,et al.  R^{3} index for four-dimensional (N)=2 field theories. , 2014, Physical review letters.

[6]  M. Braverman.  The index theory on non-compact manifolds with proper group action , 2014, 1403.7587.

[7]  S. Cherkis.  Octonions, Monopoles, and Knots , 2014, 1403.6836.

[8]  S. Miller,et al.  Small representations, string instantons, and Fourier modes of Eisenstein series , 2011, 1111.2983.

[9]  Andriy Haydys.  Fukaya-Seidel category and gauge theory , 2010, 1010.2353.

[10]  M. Schnabl.  Noncommutative Geometry and String Field Theory , 2014 .

[11]  Zitao Wang,et al.  Fermionic symmetry protected topological phases and cobordisms , 2014, Journal of High Energy Physics.

[12]  D. Freed.  Short-range entanglement and invertible field theories , 2014, 1406.7278.

[13]  R. Gopakumar,et al.  Higher spins & strings , 2014, 1406.6103.

[14]  Samuel Monnier.  The global anomalies of (2,0) superconformal field theories in six dimensions , 2014, 1406.4540.

[15]  C. Maccaferri,et al.  String field theory solution for any open string background , 2014, 1406.3021.

[16]  M. Finkelberg,et al.  Instanton moduli spaces and $\mathscr W$-algebras , 2014, 1406.2381.

[17]  Junya Yagi.  Ω-deformation and quantization , 2014, 1405.6714.

[18]  A. Kapustin.  Bosonic Topological Insulators and Paramagnets: a view from cobordisms , 2014, 1404.6659.

[19]  Yukinobu Toda.  Derived category of coherent sheaves and counting invariants , 2014, 1404.3814.

[20]  L. McAllister,et al.  Inflation and String Theory , 2014, 1404.2601.

[21]  S. Miller,et al.  SL(2,Z)-invariance and D-instanton contributions to the $D^6 R^4$ interaction , 2014, 1404.2192.

[22]  D. Gaiotto,et al.  Holography for (1,0) theories in six dimensions , 2014, 1404.0711.

[23]  A. Dabholkar,et al.  Nonperturbative black hole entropy and Kloosterman sums , 2014, 1404.0033.

[24]  C. Papageorgakis,et al.  Revisiting soliton contributions to perturbative amplitudes , 2014, 1404.0016.

[25]  A. Kapustin.  Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology , 2014, 1403.1467.

[26]  D. Junghans.  Dynamics of warped flux compactifications with backreacting antibranes , 2014, 1402.4571.

[27]  T. Banks,et al.  Supersymmetry breaking and the cosmological constant , 2014, 1402.0828.

[28]  H. Nakajima.  More lectures on Hilbert schemes of points on surfaces , 1999, 1401.6782.

[29]  D. Tong,et al.  Monopoles and Wilson lines , 2014, 1401.6167.

[30]  A. Kapustin,et al.  Coupling a QFT to a TQFT and duality , 2014, 1401.0740.

[31]  A. Neitzke,et al.  Hyperkähler sigma model and field theory on Gibbons-Hawking spaces , 2014, 1401.0349.

[32]  D. Thurston.  Positive basis for surface skein algebras , 2013, Proceedings of the National Academy of Sciences.

[33]  Richard P. Thomas,et al.  Counting curves on surfaces in Calabi–Yau 3-folds , 2013, 1309.0051.

[34]  J. Harvey,et al.  tested through computation of the analogs of the McKay-Thompson series of Monstrous Moonshine , 2014 .

[35]  N. Hitchin.  The Hyperholomorphic Line Bundle , 2013, 1306.4241.

[36]  M. Finkelberg,et al.  INSTANTON MODULI SPACES AND W-ALGEBRAS , 2014 .

[37]  P. Adrien,et al.  THE RELATION BETWEEN MATHEMATICS AND PHYSICS , 2014 .

[38]  B. Webster,et al.  Tensor product algebras, Grassmannians and Khovanov homology , 2013, 1312.7357.

[39]  V. Pestun,et al.  Quantum Geometry and Quiver Gauge Theories , 2013, 1312.6689.

[40]  C. Vafa,et al.  On the classification of 6D SCFTs and generalized ADE orbifolds , 2013, 1312.5746.

[41]  Yuji Tachikawa.  N=2 supersymmetric dynamics for dummies , 2013 .

[42]  Samuel Monnier.  Global gravitational anomaly cancellation for five-branes , 2013, 1310.2250.

[43]  A. Kapustin,et al.  Higher symmetry and gapped phases of gauge theories , 2013, 1309.4721.

[44]  E. Martinec.  Evolving Notions of Geometry in String Theory , 2013 .

[45]  D. Lüst,et al.  The spacetime of double field theory: Review, remarks, and outlook , 2013, 1309.2977.

[46]  A. Sheshmani,et al.  Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms , 2013, 1309.0050.

[47]  Michael B. Green,et al.  Zhang-Kawazumi Invariants and Superstring Amplitudes , 2013, 1308.4597.

[48]  Miranda C. N. Cheng,et al.  Umbral moonshine and the Niemeier lattices , 2013, Research in the Mathematical Sciences.

[49]  A. Kapustin,et al.  Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories , 2013, 1307.4793.

[50]  F. Wilczek,et al.  Particles and Fields , 2013 .

[51]  Pietro Longhi,et al.  Wild wall crossing and BPS giants , 2013, 1305.5454.

[52]  Clay Córdova,et al.  Complex Chern-Simons from M5-branes on the squashed three-sphere , 2013, 1305.2891.

[53]  A. Sheshmani,et al.  Invariants of pure 2-dimensional sheaves inside threefolds and modular forms , 2013, 1305.1334.

[54]  O. Aharony,et al.  Reading between the lines of four-dimensional gauge theories , 2013, 1305.0318.

[55]  F. Brown,et al.  Modular forms in Quantum Field Theory , 2013, 1304.5342.

[56]  E. Witten,et al.  More On Superstring Perturbation Theory , 2013 .

[57]  J. Manschot,et al.  Quantum hypermultiplet moduli spaces in N = 2 string vacua: a review , 2013, 1304.0766.

[58]  G. Moore,et al.  Geometric engineering of (framed) BPS states , 2013, 1301.3065.

[59]  Ó. J. Dias,et al.  Horizons cannot save the Landscape , 2012, 1212.5162.

[60]  Stefano Massai,et al.  Polchinski-Strassler does not uplift Klebanov-Strassler , 2012, 1212.4828.

[61]  J. Manschot,et al.  D3-instantons, mock theta series and twistors , 2012, 1207.1109.

[62]  Stefano Massai,et al.  Anti-D3 Branes: Singular to the bitter end , 2012, 1206.6369.

[63]  G. Moore,et al.  Spectral Networks , 2012, 1204.4824.

[64]  Yukinobu Toda.  Bogomolov–Gieseker‐type inequality and counting invariants , 2011, 1112.3411.

[65]  G. Moore,et al.  On 6d N = (2, 0) theory compactified on a Riemann surface with finite area , 2011, Progress of Theoretical and Experimental Physics.

[66]  M. Douglas.  Thoughts on (2; 0) theory , 2013 .

[67]  D. Freed,et al.  Relative Quantum Field Theory , 2012, 1212.1692.

[68]  D. Joyce,et al.  Symmetries and stabilization for sheaves of vanishing cycles , 2012, 1211.3259.

[69]  V. Pestun,et al.  Seiberg-Witten Geometry of Four-Dimensional $\mathcal N=2$ Quiver Gauge Theories , 2012, Symmetry, Integrability and Geometry: Methods and Applications.

[70]  Y. Kiem,et al.  Categorification of Donaldson-Thomas invariants via Perverse Sheaves , 2012, 1212.6444.

[71]  Miranda C. N. Cheng,et al.  Rademacher Sums and Rademacher Series , 2012, 1210.3066.

[72]  E. Witten.  Superstring Perturbation Theory Revisited , 2012, 1209.5461.

[73]  G. Moore,et al.  Spectral Networks and Snakes , 2012, 1209.0866.

[74]  T. Banks.  The Top $10^{500}$ Reasons Not to Believe in the Landscape , 2012, 1208.5715.

[75]  A. Postnikov,et al.  Scattering Amplitudes and the Positive Grassmannian , 2012, 1212.5605.

[76]  D. Freed,et al.  Twisted Equivariant Matter , 2012, 1208.5055.

[77]  D. Zagier,et al.  Quantum Black Holes, Wall Crossing, and Mock Modular Forms , 2012, 1208.4074.

[78]  Marcos Marino,et al.  Lectures on non‐perturbative effects in large N gauge theories, matrix models and strings , 2012, 1206.6272.

[79]  G. Festuccia,et al.  Exploring curved superspace , 2012, 1205.1115.

[80]  Miranda C. N. Cheng,et al.  Umbral Moonshine , 2012, 1204.2779.

[81]  Solving the 3D Ising Model with the Conformal Bootstrap , 2012, 1203.6064.

[82]  J. Distler,et al.  Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories , 2012, 1203.2930.

[83]  H. Casini,et al.  On the RG running of the entanglement entropy of a circle , 2012, 1202.5650.

[84]  J. Walcher.  On the Arithmetic of D-brane Superpotentials. Lines and Conics on the Mirror Quintic , 2012, 1201.6427.

[85]  K. Costello,et al.  Quantum BCOV theory on Calabi-Yau manifolds and the higher genus B-model , 2012, 1201.4501.

[86]  E. Witten,et al.  Knot Invariants from Four-Dimensional Gauge Theory , 2011, 1106.4789.

[87]  G. Moore,et al.  Wall-crossing in coupled 2d-4d systems , 2011, 1103.2598.

[88]  Rafael I. Nepomechie,et al.  Review of AdS/CFT Integrability: An Overview , 2010, Letters in Mathematical Physics.

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

[90]  C. Vafa,et al.  $\mathcal{N} = 2$ quantum field theories and their BPS quivers , 2011, 1112.3984.

[91]  Urs Schreiber,et al.  Mathematical Foundations of Quantum Field Theory and Perturbative String Theory , 2011 .

[92]  M. Taki,et al.  Line operators on S^1xR^3 and quantization of the Hitchin moduli space , 2011 .

[93]  Shlomo S. Razamat,et al.  Gauge Theories and Macdonald Polynomials , 2011, 1110.3740.

[94]  A. Neitzke.  On a hyperholomorphic line bundle over the Coulomb branch , 2011, 1110.1619.

[95]  B. Pioline,et al.  Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence , 2011, 1110.0466.

[96]  C. Vafa,et al.  BPS Quivers and Spectra of Complete N=2 Quantum Field Theories , 2011 .

[97]  D. Gaiotto,et al.  Gauge Theories Labelled by Three-Manifolds , 2011, 1108.4389.

[98]  P. Teichner,et al.  Supersymmetric field theories and generalized cohomology , 2011, 1108.0189.

[99]  Z. Komargodski,et al.  On renormalization group flows in four dimensions , 2011, 1107.3987.

[100]  G. Moore,et al.  On 2d TQFTs whose values are holomorphic symplectic varieties , 2011, 1106.5698.

[101]  G. Festuccia,et al.  Rigid supersymmetric theories in curved superspace , 2011, 1105.0689.

[102]  Shlomo S. Razamat,et al.  The 4d Superconformal Index from q-deformed 2d Yang-Mills , 2011, 1104.3850.

[103]  Anthony Licata,et al.  Coherent sheaves on quiver varieties and categorification , 2011, 1104.0352.

[104]  N. Nekrasov,et al.  Darboux coordinates, Yang-Yang functional, and gauge theory , 2011, 1103.3919.

[105]  H. Kragh.  Higher Speculations: Grand Theories and Failed Revolutions in Physics and Cosmology , 2011 .

[106]  E. Witten.  Fivebranes and Knots , 2011, 1101.3216.

[107]  C. Papageorgakis,et al.  M5-Branes, D4-Branes and quantum 5D super-Yang-Mills , 2010, 1012.2882.

[108]  M. Douglas,et al.  On D = 5 super Yang-Mills theory and (2, 0) theory , 2010, 1012.2880.

[109]  T. Banks,et al.  Symmetries and Strings in Field Theory and Gravity , 2010, 1011.5120.

[110]  Alexei Kitaev,et al.  Topological phases of fermions in one dimension , 2010, 1008.4138.

[111]  B. Feigin,et al.  A Finite Analog of the AGT Relation I: Finite W-Algebras and Quasimaps’ Spaces , 2010, 1008.3655.

[112]  Tohru Eguchi,et al.  Notes on the K3 Surface and the Mathieu Group M 24 , 2010, Exp. Math..

[113]  P. Kronheimer,et al.  Knot homology groups from instantons , 2008, 0806.1053.

[114]  G. Moore,et al.  Split states, entropy enigmas, holes and halos , 2007, hep-th/0702146.

[115]  Skip Garibaldi,et al.  Did a 1-dimensional magnet detect a 248-dimensional Lie algebra? , 2010, 1012.5407.

[116]  N. Hitchin.  Lectures on generalized geometry , 2010, 1008.0973.

[117]  A. Zaffaroni,et al.  Massive type IIA string theory cannot be strongly coupled , 2010, 1007.2451.

[118]  A. Goncharov,et al.  Classical polylogarithms for amplitudes and Wilson loops. , 2010, Physical review letters.

[119]  M. Kontsevich,et al.  Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants , 2010, 1006.2706.

[120]  G. Moore,et al.  Framed BPS states , 2010, 1006.0146.

[121]  P. B. Kronheimer,et al.  Khovanov homology is an unknot-detector , 2010, 1005.4346.

[122]  M. Stone,et al.  Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock , 2010, 1005.3213.

[123]  N. Seiberg.  Modifying the sum over topological sectors and constraints on supergravity , 2010, 1005.0002.

[124]  J. Troost.  The non-compact elliptic genus: mock or modular , 2010, 1004.3649.

[125]  A. Kapustin.  Topological Field Theory, Higher Categories, and Their Applications , 2010, 1004.2307.

[126]  S. Miller,et al.  Eisenstein series for higher-rank groups and string theory amplitudes , 2010, 1004.0163.

[127]  Shlomo S. Razamat,et al.  The superconformal index of the E6 SCFT , 2010, 1003.4244.

[128]  R. Langlands,et al.  Formule des Traces et Fonctorialit\'e: le D\'ebut d'un Programme , 2010, 1003.4578.

[129]  E. Witten,et al.  The omega deformation, branes, integrability and Liouville theory , 2010, 1002.0888.

[130]  D. Friedan,et al.  Gradient formula for the beta function of 2D quantum field theory , 2009, 0910.3109.

[131]  Shlomo S. Razamat,et al.  S-duality and 2d topological QFT , 2009, 0910.2225.

[132]  N. Nekrasov,et al.  Quantization of Integrable Systems and Four Dimensional Gauge Theories , 2009, 0908.4052.

[133]  M. Marcolli.  Feynman integrals and motives , 2009, 0907.0321.

[134]  J. Manschot.  Stability and Duality in $${\mathcal{N}\,{=}\,2}$$ Supergravity , 2009, 0906.1767.

[135]  E. Witten,et al.  Quantum gravity partition functions in three dimensions , 2007, 0712.0155.

[136]  M. Atiyah,et al.  Geometry and physics , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[137]  A. Okounkov,et al.  Quantum cohomology of the Springer resolution , 2009, 1001.0056.

[138]  Shinsei Ryu,et al.  Topological insulators and superconductors: tenfold way and dimensional hierarchy , 2009, 0912.2157.

[139]  Mark Gross,et al.  Dirichlet Branes and Mirror Symmetry , 2009 .

[140]  M. Kontsevich,et al.  Motivic Donaldson-Thomas invariants: Summary of results , 2009, 0910.4315.

[141]  F. Brown.  On the periods of some Feynman integrals , 2009, 0910.0114.

[142]  I. Frenkel,et al.  Rademacher sums, moonshine and gravity , 2009, 0907.4529.

[143]  G. Moore,et al.  Wall-crossing, Hitchin Systems, and the WKB Approximation , 2009, 0907.3987.

[144]  J. Marsano,et al.  Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs , 2009, 0906.4672.

[145]  Jacques Distler,et al.  Orientifold Precis , 2009, 0906.0795.

[146]  D. Freed,et al.  Topological Quantum Field Theories from Compact Lie Groups , 2009, 0905.0731.

[147]  E. Witten.  Geometric Langlands From Six Dimensions , 2009, 0905.2720.

[148]  J. Maldacena,et al.  The gravity duals of N=2 superconformal field theories , 2009, 0904.4466.

[149]  B. Pioline,et al.  Large D-instanton effects in string theory , 2009, 0904.2303.

[150]  N. Seiberg,et al.  Comments on the Fayet-Iliopoulos term in field theory and supergravity , 2009, 0904.1159.

[151]  Superconformal algebras and mock theta functions 2: Rademacher expansion for K3 surface , 2009, 0904.0911.

[152]  S. Donaldson,et al.  Gauge Theory in higher dimensions, II , 2009, 0902.3239.

[153]  S. Alexandrov.  D-instantons and twistors: some exact results , 2009, 0902.2761.

[154]  N. Nekrasov,et al.  Quantum Integrability and Supersymmetric Vacua , 2009, 0901.4748.

[155]  Nikita A.Nekrasov,et al.  Supersymmetric vacua and Bethe ansatz , 2009, 0901.4744.

[156]  Alexei Kitaev,et al.  Periodic table for topological insulators and superconductors , 2009, 0901.2686.

[157]  T. Eguchi,et al.  Superconformal algebras and mock theta functions , 2008, 0812.1151.

[158]  Edward Witten,et al.  Branes and Quantization , 2008, 0809.0305.

[159]  C. Vafa,et al.  GUTs and exceptional branes in F-theory — I , 2008, 0802.3391.

[160]  V. Bouchard,et al.  Remodeling the B-Model , 2007, 0709.1453.

[161]  C Kristjansen, M Staudacher and A Tseytlin.  Gauge–string duality and integrability: progress and outlook , 2009 .

[162]  V. Ginzburg.  LECTURES ON NAKAJIMA'S QUIVER VARIETIES , 2009, 0905.0686.

[163]  Jacob Lurie,et al.  On the Classification of Topological Field Theories , 2009, 0905.0465.

[164]  F. Saueressig,et al.  D-instantons and twistors , 2008, 0812.4219.

[165]  Yan Soibelman,et al.  Stability structures, motivic Donaldson-Thomas invariants and cluster transformations , 2008, 0811.2435.

[166]  G. Moore,et al.  Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory , 2008, 0807.4723.

[167]  E. Witten,et al.  S-duality of boundary conditions in N=4 super Yang-Mills theory , 2008, 0807.3720.

[168]  R. Rattazzi,et al.  Bounding scalar operator dimensions in 4D CFT , 2008, 0807.0004.

[169]  C. Vafa,et al.  GUTs and exceptional branes in F-theory — II. Experimental predictions , 2008, 0806.0102.

[170]  R. Donagi,et al.  On heterotic model constraints , 2008, 0804.2096.

[171]  E. Witten,et al.  Rigid Surface Operators , 2008, 0804.1561.

[172]  F. Denef.  Les Houches Lectures on Constructing String Vacua , 2008, 0803.1194.

[173]  R. Donagi,et al.  Model building with $F$-theory , 2008, 0802.2969.

[174]  Sabin Cautis,et al.  Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case , 2007, 0710.3216.

[175]  Andriy Haydys.  HyperKähler and quaternionic Kähler manifolds with S1 -symmetries , 2007, 0706.4473.

[176]  M. Khovanov,et al.  Matrix factorizations and link homology II , 2005, math/0505056.

[177]  M. Khovanov,et al.  Matrix factorizations and link homology , 2004, math/0401268.

[178]  A. Nelson.  Dynamical Breaking of Supersymmetry , 2008 .

[179]  G. Moore,et al.  A Modern Farey Tail , 2007 .

[180]  E. Witten,et al.  Geometric Endoscopy and Mirror Symmetry , 2007, 0710.5939.

[181]  Edward Witten,et al.  Three-Dimensional Gravity Revisited , 2007, 0706.3359.

[182]  X. Yin,et al.  Examples of M5-Brane Elliptic Genera , 2007, hep-th/0702012.

[183]  Sabin Cautis,et al.  Knot homology via derived categories of coherent sheaves I, sl(2) case , 2007, math/0701194.

[184]  S. Kachru,et al.  Physics of String Flux Compactifications , 2007, hep-th/0701050.

[185]  R. Stern,et al.  Six Lectures on Four 4-Manifolds , 2006, math/0610700.

[186]  X. Yin,et al.  The M5-Brane Elliptic Genus: Modularity and BPS States , 2006, hep-th/0607010.

[187]  K. Wendland.  On superconformal field theories associated to very attractive quartics , 2003, hep-th/0307066.

[188]  S. Quackenbush,et al.  Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions , 2006, hep-th/0612125.

[189]  E. Witten,et al.  Gauge Theory, Ramification, And The Geometric Langlands Program , 2006, hep-th/0612073.

[190]  F. Cachazo,et al.  Children’s drawings from Seiberg–Witten curves , 2006, hep-th/0611082.

[191]  G. Segal,et al.  D-branes and K-theory in 2D topological field theory , 2006, hep-th/0609042.

[192]  Miranda C. N. Cheng,et al.  A Farey Tail for Attractor Black Holes , 2006, hep-th/0608059.

[193]  Guofang Wang,et al.  Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds , 2006, math/0607586.

[194]  D. Auroux.  The canonical pencils on Horikawa surfaces , 2006, math/0605692.

[195]  G. Moore,et al.  Holographic Action for the Self-Dual Field , 2006, hep-th/0605038.

[196]  E. Witten,et al.  Electric-Magnetic Duality And The Geometric Langlands Program , 2006, hep-th/0604151.

[197]  R. Bezrukavnikov.  Noncommutative Counterparts of the Springer Resolution , 2006, math/0604445.

[198]  E. Martinec,et al.  Toward the end of time , 2006, hep-th/0603104.

[199]  K. Wendland.  A family of SCFTs hosting all ``very attractive'' relatives of the (2)4 Gepner model , 2005, hep-th/0512223.

[200]  R. Donagi,et al.  An SU(5) heterotic standard model , 2005, hep-th/0512149.

[201]  J. Polchinski.  Open heterotic strings , 2005, hep-th/0510033.

[202]  D. Freed,et al.  Setting the Quantum Integrand of M-Theory , 2004, hep-th/0409135.

[203]  M. Atiyah.  The Interaction between Geometry and Physics , 2006 .

[204]  M. Flohr,et al.  Conformal Field Theory , 2006 .

[205]  M. Schnabl.  Analytic solution for tachyon condensation in open string field theory , 2005, hep-th/0511286.

[206]  B. Craps,et al.  A matrix big bang , 2005, hep-th/0506180.

[207]  C. Vafa,et al.  Khovanov-Rozansky Homology and Topological Strings , 2004, hep-th/0412243.

[208]  G. Moore.  Anomalies, Gauss laws, and Page charges in M-theory , 2004, hep-th/0409158.

[209]  C. Vafa,et al.  The Topological Vertex , 2003, hep-th/0305132.

[210]  G. Moore,et al.  Conformal blocks for AdS(5) singletons , 2004 .

[211]  T.Banks.  Landskepticism: or Why Effective Potentials Don't Count String Models , 2004, hep-th/0412129.

[212]  T. Banks.  Landskepticism: or Why Effective Potentials Don't Count String Models , 2004 .

[213]  K. Costello.  Topological conformal field theories and Calabi–Yau categories , 2004, math/0412149.

[214]  C. Vafa,et al.  Topological M-theory as unification of form theories of gravity , 2004, hep-th/0411073.

[215]  M. Graña,et al.  Supersymmetric backgrounds from generalized Calabi‐Yau manifolds , 2004, hep-th/0406137.

[216]  H. Ooguri,et al.  Black hole attractors and the topological string , 2004, hep-th/0405146.

[217]  P. Seidel,et al.  A link invariant from the symplectic geometry of nilpotent slices , 2004, math/0405089.

[218]  Symmetry classes in random matrix theory , 2004, math-ph/0404058.

[219]  O. Aharony,et al.  LSZ in LST , 2004, hep-th/0404016.

[220]  G. Moore,et al.  Chern-Simons gauge theory and the AdS(3) / CFT(2) correspondence , 2004, hep-th/0403225.

[221]  G. Moore.  Les Houches Lectures on Strings and Arithmetic , 2004, hep-th/0401049.

[222]  D. Friedan,et al.  Boundary entropy of one-dimensional quantum systems at low temperature. , 2003, Physical review letters.

[223]  Rational Conformal Field Theories and Complex Multiplication , 2002, hep-th/0203213.

[224]  Anders Logg,et al.  The Unreasonable Effectiveness of Mathematics in the Natural Sciences , 2004 .

[225]  P. Teichner,et al.  Topology, Geometry and Quantum Field Theory: What is an elliptic object? , 2004 .

[226]  U. Tillmann,et al.  Topology, geometry and quantum field theory : proceedings of the 2002 Oxford Symposium in the honour of the 60th birthday of Graeme Segal , 2004 .

[227]  A. Goncharov,et al.  Moduli spaces of local systems and higher Teichmüller theory , 2003, math/0311149.

[228]  L. Cornalba,et al.  Time‐dependent orbifolds and string cosmology , 2003, hep-th/0310099.

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