Geometry and String Theory
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 2019 Schedule
Date Speaker Topic 8/28 Organizational Meeting 9/4 Dan Freed FMS 9/11 Sutapa Samanta Two new moonshines and two new Lie algebras 9/18 Jacques Distler IIB and 6D CFTs (I) 9/25 Shehper IIB and 6D CFTs (II) 10/2 Arun Debray GSO projections via SPT phases 10/16 Ivan Tulli Notes on entanglement properties of Field Theories - Witten 10/23 Sebastian Schulz Notes on entanglement properties of Field Theories - Witten 10/30 Andrew Potter Fractons (I) 11/6 Andrew Potter Fractons (II) 11/13 Madalena Lemos 11/20 Ricky Wedeen Yang-Mills for Probabilists 12/4 Charlie Reid Yang-Mills for Probabilists
Spring 2020 Schedule
Date Speaker Topic 1/22 Organizational Meeting 1/29 Jacques Distler What is a scattering amplitude? 2/5 Jacques Distler Analyticity properties of scattering amplitudes 2/12 Ali Shehper Multi-cut methods in scattering amplitudes 2/19 Ivan Tulli Twistors, momentum twistors and Yangian Symmetry 2/26 Grant Elliot Twistors, momentum twistors and Yangian Symmetry Part 2 3/4 Charlie Reid Positroid Stratification of the Positive Grassmannian 3/11 Charlie Reid and Ivan Tulli The Positive Grassmannian Pt 2/ Towards the Amplituhedron 3/25 Grant Elliot The Yangian 4/1 4/8 Mario Martone Higher-loops 4/15 4/22 Behzat Ergun The amplituhedron 4/29 5/6
References
Old 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 ”
(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 QCD 3 \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 QCD 4 \text{QCD}_4 ”
J. Gomis, Z. Komargodski, N. Seiberg, “Phases of adjoint QCD 3 \text{QCD}_3 ”
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