Geometry and String Theory
HomePage (Rev #206, changes)

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This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started.

Fall 2018 Schedule

References

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”

Old References

(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”