Geometry and String Theory
HomePage (Rev #240, changes)

Old References

• I. Garcia-Etxebarria, B. Heidenreich, D. Regalado, “IIB flux non-commutativity and the global structure of field theories
• Justin Kaidi, Julio Parra-Martinez, Yuji Tachikawa, “GSO projections via SPT phases”
• Edward Witten, “Notes on Some Entanglement Properties of Quantum Field Theory”
• Sourav Chatterjee, “Yang-Mills for probabilists”

Brave New Vertex Algebras

• C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli, B. C. van Rees, “Infinite chiral symmetry in four dimensions”
• C. Beem, W. Peelaers, L. Rastelli, B. C. van Rees, “Chiral algebras of class S”
• C. Beem, L. Rastelli, “Vertex operator algebras, Higgs branches, and modular differential equations”
• C. Beem, StringMath Slides, “Comments on Vertex Algebras for N=2 SCFTS”
• T. Arakawa, 2018 ICM Address, “Representation Theory of W-algebras and Higgs Branch Conjecture”
• T. Arakawa, “Associated Varieties and Higgs Branches, a Survey”
• A. Gadde, S. Gukov, P. Putrov, “Fivebranes and 4-manifolds”
• M. Dedushenko, S. Gukov, P. Putrov, “Vertex algebra and 4-manifold invariants”
• B. Feigin, S. Gukov, “VOA[M4]”
• K. Costello, D. Gaiotto, “Vertex operator algebras and 3d N=4 gauge theories”
• E. Frenkel, D. Gaiotto, “Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks”

Gauge Theory and Integrable Systems

• E. Witten, “Integrable lattice models from gauge theory”
• K. Costello, E. Witten, M. Yamazaki, “Gauge theory and integrability, I”
• K. Costello, E. Witten, M. Yamazaki, “Gauge theory and integrability, II”
• K. Costello, “Lecture at Strings 2016”
• E. Witten, “Lecture at Strings 2016”
• M. Yamazaki, “Lecture at Strings 2018”

Miscellaneous Papers

• V. F. R. Jones, “Scale invariant transfer matrices and Hamiltonians”
• R. Mazzeo, E. Witten, “The KW equations and the Nahm pole boundary condition with knots”
• S. Chatterjee, “Yang-Mills for probabilists”
• N. Seiberg, Y. Tachikawa, K. Yonekura, “Anomalies of duality groups and extended conformal manifolds”
• A. S. Cattaneo, P. Mnev, N. Reshetikhin, “Poisson sigma model and semiclassical quantization of integrable systems”
• R. Dijkgraaf, E. Witten, “Developments in topological gravity”
• C. Elliott, P. Safronov, “Topological twists of supersymmetric algebras of observables”
• E. Witten, “Notes on some entanglement properties of quantum field theory”

(Higher) Symmetries, Anomaly-Matching and Phases of QCD

• A. Kapustin, R. Thorngren, “Anomalies of discrete symmetries in various dimensions and group cohomology”
• D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, “Generalized Global Symmetries”
• F. Benini, P. Hsin and N. Seiberg, “Comments on global symmetries, anomalies, and duality in (2+1)d”
• D. Gaiotto, A. Kapustin, Z. Komargodski and N. Seiberg, “Theta, Time Reversal, and Temperature”
• Z. Komargodski and N. Seiberg, “A Symmetry Breaking Scenario for $\text{QCD}_3$”
• D. S. Freed, Z. Komargodski, N. Seiberg, “The Sum Over Topological Sectors and θ in the 2+1-Dimensional CP¹ σ-Model”
• D. Gaiotto, Z. Komargodski and N. Seiberg, “Time-Reversal Breaking in $\text{QCD}_4$, Walls, and Dualities in 2+1 Dimensions”
• J. Gomis, Z. Komargodski, N. Seiberg, “Phases of adjoint $\text{QCD}_3$ and dualities”
• C. Cordova, P.-S. Hsin, N. Seiberg, “Time-reversal symmetry, anomalies, and dualities in (2+1)d”
• Y. Tachikawa, “On gauging finite subgroups”
• D. M. Hofman, N. Iqbal, “Generalized global symmetries and holography”

Mathematics Papers on 2-Groups

• G. C. Baez, A. D. Lauda, “Higher-dimensional algebra V: 2-groups”

• C. J. Schommer-Pries, “Central extension of smooth 2-groups and a finite-dimensional string 2-group”