Geometry and String Theory
Showing changes from revision #374 to #375:
Added | Removed | Changed
This is the homepage for the UT Geometry and Quantum Field 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.
There is a mailing list. To subscribe, send an email to sympa@utlists.utexas.edu with subjectsubscribe math-gst Your Name ”.
Fall 2025 2026 Schedule Date Speaker Topic 8/27 8/26 Organizational Meeting 9/3 9/2 Bahaa Gopakumar Elshimy Weinberg’s Lecture Soft 1 Theorem 9/10 9/9 Andreas Lunch Karch Asymptotic Aidan Symmetries Herderschee and Soft Theorems 9/17 9/16 Brian Gopakumar KentLecture 2 9/24 9/23 Tim Harita Adamo2d/1d 10/1 9/30 Sanjay Yasin Mathai BCFW TMF recursion relation, Parke-Taylor amplitude 10/8 10/7 Alex Lu Yang-Mills TMF in Twistor Space 10/15 10/14 TMF 10/22 10/21 10/29 10/28 11/5 11/4 11/12 11/11 11/19 11/18 12/3 12/2
Spring 2026 2027 Schedule Date Speaker Topic 1/14 1/13 Organizational Meeting 1/21 1/20 AineshMatrix Models 1/28 1/27 Minju KumJT Gravity 2/4 2/3 Bahaa ElshimyVTQFT / Maloney-Witten 2/11 2/10 Bahaa ElshimyVTQFT / Maloney-Witten II 2/18 2/17 Jacques DistlerAnomaly Cancellation in Type I (part I) 2/25 2/24 Jacques DistlerAnomaly Cancellation in Type I (part II) 3/4 3/3 3/11 3/10 Monica KangOperator-algebraic AdS/CFT and subregion duality 3/25 3/24 Alex LuGeneralized Differential Cohomology 4/1 3/31 Jacques Distler/Yasin AlamK/KO Integration and Quadratic Refinements 4/8 4/7 Yasin AlamType IIB Anomaly Inflow 4/15 4/14 Lukas WoikeTopological tools in two-dimensional conformal field theory 4/22 4/21 Alex LuPath integrals in differential K/KO theory 4/29 4/28 Yasin AlamType I anomaly cancellation re-revisited
References
Anomaly TMF Cancellation in String Theory
Y. Tachikawa, M. Yamashita, “ S. Hosseini, Y. Tachikawa, H. Zhang, “Type I anomaly cancellation revisited ”
Anderson duality of topological modular forms and its differential-geometric manifestations
”
S. Gukov, D. Pei, P. Putrov, C. Vafa, “ J. Distler, D. Freed, G. Moore, “Orientifold Precis ”
4-manifolds and topological modular forms
”
D. Freed, M. Hopkins, “On Ramond-Ramond fields and K-theory ”
D. Freed, “Dirac Charge Quantization and Generalized Differential Cohomology ”
C. Hsieh, Y. Tachikawa, K. Yonekura, “Anomaly inflow and -form gauge theories ”
Worldsheet Duals to 1-Matrix Models
Twisted Unitarity of Chiral Algebras
Resurgence
I. Aniceto, G. Basar, R. Schiappa, “A Primer on Resurgent Transseries and Their Asymptotics ”
H. Liu, ““Filtering” CFTs at large N: Euclidean Wormholes, Closed Universes, and Black Hole Interiors ”
H. Liu, “Ramp, Plateau, and Wormholes without Averaging, and Hyper-non-perturbative Structures in Gravity ”
Functorial QFT
Old References
Celestial Complex Holography Chern-Simons theory, resurgence, and quantum modularity
K. S. Costello, Gukov, N. M. Paquette, Marino, P. Putrov, “ Celestial Resurgence holography in meets complex twisted Chern-Simons holography: theory 4d amplitudes from chiral correlators K. S. Costello, Garoufalidis, N. J. Gu, M. Paquette, Marino, “ On Peacock the patterns associativity and of resurgence one-loop in corrections complex to Chern-Simons the theory celestial OPE A. S. Strominger, Garoufalidis, J. Gu, M. Marino, C. Wheeler, “ Lectures Resurgence on the Infrared Structure of Gravity Chern-Simons and theory Gauge at Theory the trivial flat connection P. S. Aneesh, Garoufalidis, G. D. Compère, Zagier, L. Pipolo de Gioia, I. Mol, B. Swidler, “ Celestial Knots, Holography: perturbative Lectures series on and Asymptotic quantum Symmetries modularity Tim Adamo, Celstial Holography, Twistor approach to asymptotic symmetries and flat holography S. Garoufalidis, C. Wheeler, “ Modular q-holonomic modules ”
Z. Duan, J. Gu, “Resurgence in complex Chern-Simons theory at generic levels ”
QED3 Anomaly Cancellation in String Theory
Chester S. and Hosseini, Komargodski, Y. Tachikawa, H. Zhang, “ Symmetry Type Enhancement, I SPT anomaly Absorption, cancellation and revisited Duality in QED3 Dumitrescu, J. Niro, Distler, and D. Thorngren, Freed, G. Moore, “ Symmetry Orientifold Breaking Precis from Monopole Condensation in QED3
D. Freed, M. Hopkins, “On Ramond-Ramond fields and K-theory ”
D. Freed, “Dirac Charge Quantization and Generalized Differential Cohomology ”
C. Hsieh, Y. Tachikawa, K. Yonekura, “Anomaly inflow and -form gauge theories ”
Liouville Theory
We mentioned “7 ” and “23 ” which are referred in the above paper.
Gaiotto’s papers
Fusion Category Symmetry Basics and Reviews
SymTFT and (Higher-)Categorical Landau Paradigm
Gauging Non-Invertible Symmetries
A. Perez-Lona, D. Robbins, E. Sharpe, T. Vandermeulen, X. Yu, “Notes on gauging noninvertible symmetries, part 1: Multiplicity-free cases ”
A. Perez-Lona, D. Robbins, E. Sharpe, T. Vandermeulen, X. Yu, “Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases ”
Donaldson Theory and 𝒩 = 2 \mathcal{N}=2
Alexandru Scorpan, “The Wild World of 4-Manifolds ”
J.D. Moore, “Lecture Notes on Seiberg-Witten Invariants ”
Gompf & Stipsicz “[4-Manifolds and Kirby Calculus]”
Griffiths & Harris “[Principles of Algebraic Geometry]”
G. Moore, “Lectures On The Physical Approach To Donaldson And Seiberg-Witten Invariants Of Four-Manifolds ”
E. Witten, “Supersymmetric Yang-Mills theory on a four manifold ”
N. Seiberg, E. Witten, “Monopole Condensation, and confinement in N=2 supersymmetric Yang-Mills theory ”
E. Witten, “Monopoles and four manifolds ”
G. W. Moore, E. Witten, “Integration over the u-plane in Donaldson theory. ”
D. Baraglia, H. Konno, “On the Bauer-Furuta and Seiberg-Witten invariants of families of 4-manifolds ”
P. Kronheimer, T. Mrowka, “The Dehn twist on a sum of two K3 surfaces ”
J. Cushing, G. W. Moore, M. Rocek, V. Saxena, “Superconformal gravity and the topology of diffeomorphism groups ”
Algebra of Observables in Curved Spacetime
Non-Invertible Symmetries
Brane Quantization and Analytic Geometric Langlands
S. Gukov, E. Witten, “Branes and Quantization ”
D. Gaiotto, E. Witten, “Probing Quantization Via Branes ”
E. Witten, ICTS Lecture 1: “The Problem of Quantization”
A. Kapustin, E. Witten, “Electric-Magnetic Duality and the Geometric Langlands Program ”
E. Witten, ICTS Lecture 2: “Quantization by Branes and Geometric Langlands”
D. Gaiotto, E. Witten, “Gauge Theory and the Analytic Form of the Geometric Langlands Program ”
E. Witten, ICTS Lecture 3: the Analytic Approach to Geometric Langlands
See also the lectures by Teschner at the same program .
Anomaly in S-duality Symmetry of IIB
Topological Holography
Categorical Symmetries
B. Heidenreich, J. McNamara, M. Montero, M. Reece, T. Rudelius, I. Valanzuela, “Non-invertible global symmetries and completeness of the spectrum ”
Y. Choi, C. Cordova, P. Hsin, H. Lam, S. Shao, “Non-Invertible Duality Defects in 3+1 Dimensions ”
Mass Gap in 2D Gauge Theory
Twisted supergravity and Koszul duality
Topological Defect Networks
Haah Codes
Entanglement in Quantum Field Theory
Complex Chern-Simons theory, resurgence, and quantum modularity
S. Gukov, M. Marino, P. Putrov, “Resurgence in complex Chern-Simons theory ”
S. Garoufalidis, J. Gu, M. Marino, “Peacock patterns and resurgence in complex Chern-Simons theory ”
S. Garoufalidis, J. Gu, M. Marino, C. Wheeler, “Resurgence of Chern-Simons theory at the trivial flat connection ”
S. Garoufalidis, D. Zagier, “Knots, perturbative series and quantum modularity ”
S. Garoufalidis, C. Wheeler, “Modular q-holonomic modules ”
Z. Duan, J. Gu, “Resurgence in complex Chern-Simons theory at generic levels ”
3d/3d correspondence, spectral networks, and abelianization
S. Cecotti, C. Cordova, C. Vafa, “Braids, Walls, and Mirrors ”
T. Dimofte, D. Gaiotto, S. Gukov, “3-Manifolds and 3d Indices ”
S. Garoufalidis, R. Kashaev, “A meromorphic extension of the 3D Index ”
A. Neitzke, F. Yan, “q-nonabelianization for line defects ”
D. Freed, A. Neitzke, “3d spectral networks and classical Chern-Simons theory ”
Non-semisimple TQFTs