Geometry and String Theory
2022-23

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.

There is a mailing list. To subscribe, send an email to sympa@utlists.utexas.edu with subject
“subscribe math-gst Your Name”.

At least for the Fall, the seminar will take place online.

Fall 2022 Schedule

Date	Speaker	Topic
8/24		Organizational Meeting
8/31	Jacques Distler	Non-invertible symmetries
9/7	Amir Raz	Non-invertible duality defects
9/14	Andreas Karch	Non-invertible symmetries in the SM
9/21	Ricky Wedeen
9/28	Ryan Spieler	Topological Holography
10/5	*
10/12	Brian Kent	Observable Algebra in dS
10/19	* Haoyu Sun	Observable Algebra in dS
10/26
11/2	Monica Kang	Bulk reconstruction with nonperturbative gravity
11/9
11/16
11/30	Alex Lu

Spring 2023 Schedule

Date	Speaker	Topic
1/11		Organizational Meeting
1/18	Jacques Distler	4D $\mathcal{N}=2$ SCFTs and 2D VOAs
1/25	Chiara Damiolini	Vertex (Poisson) Algebras and (chiral) symplectic cores
2/1	David Ben-Zvi	cancelled
2/8	David Ben-Zvi	Higgs branches, vertex algebras and factorization algebras
2/15	David Ben-Zvi	continued
2/22	Grant Elliot	Class S
3/1	Dan Freed	Anomalies
3/8	Mianqi Wang	Anomalies on the lattice
3/22	Andreas Karch	Anomalies on the lattice
3/29	Ryan Spieler
4/5	Charlie Reid	Irregular Riemman-Hilbert correspondence
4/12	Charlie Reid, Sunghyuk Park	continued, The exact WKB method
4/19	Sunghyuk Park	continued
4/26
5/3

References

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

• A. Debray, M. Diergl, J. Heckman, M. Montero, “The anomaly that was not meant IIB”

Topological Holography

• H. Moradi, S.F. Moosaven, and A. Tiwari. “Topological holography: Towards a unification of Landau and beyond-Landau physics” Rem: If need be, Ryan is flexible with talk time. Please do not move it sooner or to 11/19, since he has already scheduled a talk that week.

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

• D. Delmastro, J. Gomis, M. Yu, “Infrared phases of 2d QCD”

Twisted supergravity and Koszul duality

• K. Costello, N. M. Paquette, “Twisted supergravity and Koszul duality: a case study in AdS₃”

Topological Defect Networks

• D. Aasen, D. Bulmash, A. Prem, K. Slagle, D. Williamson,“Topological Defect Networks for Fractons of all Types”

• D. Aasen, “Topological Defect Networks for Fracton Models - IPAM at UCLA”

• D. Bulmash “Insights into type-II fractons via topological order - Harvard CMSA”

Haah Codes

• J. Haah “Local stabilizer codes in three dimensions without string logical operators”

• J. Haah “Bifurcation in entanglement renormalization group flow of a gapped spin model”

Entanglement in Quantum Field Theory

• E. Witten, “Notes on Some Entanglement Properties of Quantum Field Theory”
• H. Casini, M. Huerta, “Lectures on entanglement in quantum field theory”
• E. Witten, “Gravity and the Crossed Product”
• E. Witten, “Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?”
• J. Yngvason, “The Role of Type III Factors 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

• T. Creutzig, T. Dimofte, N. Garner, N. Geer, “A QFT for non-semisimple TQFT”