### Workshop

#### Topological properties of gauge theories and their applications to high-energy and condensed-matter physics

**Aug 23, 2021 - Oct 01, 2021**

**Abstract**

Many remarkable properties of gauge theories rely on the topology of field configurations and/or ambient spacetime and are connected with quantum anomalies and nonperturbative excitations. These properties, often exact, have many implications in the physics of fundamental interactions, condensed matter systems and statistical mechanics models. They also account for a large part of the investigations in string theory, and combined with supersymmetry have led to exact solutions of low-energy theories and the discovery of duality relations between supersymmetric gauge theories. Meanwhile, a renewed interest in topological aspects has emerged from condensed matter physics, through the study of topological phases of quantum matter. The effective field theories for these systems are not of the usual Landau-Ginzburg-Higgs type, rather, they are described by topological gauge theories. The goal of this GGI activity is to bring together theoreticians of different backgrounds, in condensed matter, high energy and mathematical physics, with the belief that interdisciplinary approaches can lead to substantial progress in many directions.

**Topics**

* Anomalies of quantum field theories

* Generalized symmetries

* Topological aspects of quantum states in condensed matter

* (Supersymmetric) dualities in (2+1)-dimensions

* Time-reversal symmetry and 4d theta-terms

**Weekly main topics**

* Weeks 1-2: topological phases of matter

* Weeks 3-4: symmetries and anomalies

* Weeks 5-6: dualities, supersymmetry, bosonization

**Weekly review lectures**

We plan to have two-hour reviews on the topics of each week:

* w1 - Shinsei Ryu (Princeton)

*Topological states of matter and quantum entanglement*

* w2 - Alex Turzillo (MPI Garching)

*The zoo of topological phases*

* w3 - Kantaro Ohmori (Tokyo)

*On non-invertible symmetries*

* w3 - Cenke Xu (Santa Barbara)

*Potential experimental platforms for fractons, type I and II*

* w4 - Dam Tan Son (Chicago)

*Effective field theory of the fractional quantum Hall effect*

* w5 - Riccardo Argurio (ULB, Bruxelles)

*Phases and dualities of 3d gauge theories and their brane constructions*

* w6 - Shiraz Minwalla (TIFR Mumbai)

*Chern-Simons matter theories at large N*

**Organizers**

F. Benini (SISSA, Trieste), A. Cappelli (INFN, Florence), Z. Komargodski (Stony Brook University), S. Ryu (University of Chicago), A. Vishwanath (Harvard, Cambridge), P. Wiegmann (University of Chicago)

**Local organizer**

Claudio Bonanno and Alessio Caddeo (GGI)

**Contact**

francesco.benini@sissa.it

andrea.cappelli@fi.infn.it

**The activity will be both online and in-person.**

### INFOS

Seminars and discussion sessions will be broadcast on the GGI zoom channel and recorded.

Participation in-person is limited to 25 people per week. Participation is subjected to the Italian COVID regulations, please see the official web site (For any urgent question contact Andrea Cappelli)

Online participation is free, nonetheless please apply here above for receiving the zoom credentials (past the deadline too).

**Talks**

Date | Speaker | Title | Type | Useful Links | ||||
---|---|---|---|---|---|---|---|---|

Aug 23, 2021 - 14:30-15:00 | Welcome | Introduction | ||||||

Aug 23, 2021 - 15:00-16:00 | Ady Stern (Weizmann Institute, Israel) |
Topology vs. interaction: the strong, the weak and the fragile | Seminar | Slides | Video | |||

Aug 24, 2021 - 15:00-17:00 | Shinsei Ryu (Princeton University) |
Topological phases of matter and quantum entanglement | Lecture | Slides | Video | |||

Aug 25, 2021 - 15:00-16:00 | Djordje Radicevic (Brandais University) |
Lattice precursors of Chern-Simons theories | Seminar | Video | ||||

Aug 26, 2021 - 15:00-16:00 | Sergej Moroz (TUM, Garching) |
Two-dimensional Z2 gauge theory coupled to single-component fermion matter: from topological order to confinement and fractons | Seminar | Slides | Video | |||

Aug 26, 2021 - 16:00-17:00 | Yizhi You (Princeton University) |
Plaquette-dimer liquid beyond renormalization | Seminar | Slides | Video | |||

Aug 27, 2021 - 15:00-16:00 | Giandomenico Palumbo (Dublin Institute for Advanced Studies) |
Non-Abelian Higgs fields in the momentum space of multi-band topological phases | Seminar | Video | ||||

Aug 30, 2021 - 15:00-16:00 | Fiona Burnell (University of Minnesota) |
Higher rank chirality in semi-metallic systems | Seminar | Slides | Video | |||

Aug 31, 2021 - 15:00-17:00 | Alex Turzillo (Max-Planck Garching) |
SPT phases and beyond | Lecture | Slides | Video | |||

Sep 01, 2021 - 15:00-16:00 | Christopher Mudry (Paul Scherrer Institute, Zurich) |
Lieb-Schultz-Mattis type theorems for Majorana models with discrete symmetries | Seminar | Slides | Video | |||

Sep 01, 2021 - 16:00-17:00 | Glenn Wagner (Oxford University) |
Kekule spiral order in twisted bilayer graphene | Seminar | Slides | Video | |||

Sep 02, 2021 - 15:00-16:00 | Michele Burrello (Niels Bohr Institute, Copenhagen) |
Discrete Abelian lattice gauge theory on a ladder geometry | Seminar | Slides | Video | |||

Sep 02, 2021 - 16:00-17:00 | Domenico Giuliano (University of Calabria) |
Violation of the Wiedemann-Franz law and multi-particle scattering in the Topological Kondo model | Seminar | Slides | Video | |||

Sep 03, 2021 - 15:00-16:00 | Carlos Hoyos (Oviedo University) |
Effective action for anisotropic quantum Hall states | Seminar | Slides | Video | |||

Sep 06, 2021 - 12:30-13:00 | Welcome | Introduction | ||||||

Sep 06, 2021 - 15:00-16:00 | Pavel Putrov (ICPT, Trieste) |
Spin-cobordisms, surgeries and fermionic modular bootstrap | Seminar | Video | ||||

Sep 06, 2021 - 16:00-17:00 | John Sous (Columbia University, New York) |
Fracton conservation laws in hole-doped antiferromagnet | Seminar | Slides | Video | |||

Sep 07, 2021 - 10:00-12:00 | Kantaro Ohmori (Tokyo University) |
On non-invertible symmetries | Seminar | Slides | Video | |||

Sep 08, 2021 - 15:00-16:00 | Parameswaran Nair (City College, CUNY, New York) |
Topological terms and diffeomorphim anomalies in fluid dynamics | Seminar | Slides | Video | |||

Sep 08, 2021 - 16:00-17:00 | Dimitra Karabali (Lehman College, CUNY, New York) |
Entanglement entropy for integer quantum Hall effect in two and higher dimensions | Seminar | Slides | Video | |||

Sep 09, 2021 - 16:00-18:00 | Cenke Xu (University of California, Santa Barbara) |
Potential experimental platforms for fractons, type I and II | Seminar | Slides | Video | |||

Sep 10, 2021 - 15:00-16:00 | Jackson Fliss (University of Amsterdam) |
Entanglement and dipolar quantum Hall physics of tensor Chern-Simons theory | Seminar | Slides | Video | |||

Sep 13, 2021 - 12:30-13:00 | Welcome | Introduction | ||||||

Sep 13, 2021 - 15:00-16:00 | Titus Neupert (University of Zurich) |
Emergent Black Hole Dynamics in Critical Floquet Systems | Seminar | Slides | Video | |||

Sep 14, 2021 - 15:00-17:00 | Dam Tan Son (University of Chicago) |
Effective field theory of the fractional quantum Hall effect | Seminar | Slides | Video | |||

Sep 15, 2021 - 15:00-16:00 | Daniel Brennan (University of Chicago) |
The Callan Rubakov Effect and Higher Charge Monopoles | Seminar | Slides | ||||

Sep 16, 2021 - 15:00-16:00 | Eduardo Fradkin (University of Illinois, Urbana) |
Duality in Condensed Matter and High Energy Physics | Seminar | Slides | Video | |||

Sep 16, 2021 - 16:00-17:00 | Joseph Maciejko (University of Alberta, Edmonton) |
Hyperbolic band theory | Seminar | Slides | Video | |||

Sep 17, 2021 - 15:00-16:00 | Diego Delmastro (Perimeter Institute) |
Infrared phases of 2d QCD | Seminar | Slides | Video | |||

Sep 20, 2021 - 12:30-13:00 | Welcome | Introduction | ||||||

Sep 20, 2021 - 15:00-16:00 | Jeremias Aguilera-Damia (Centro Atomico Bariloche, Argentina) |
Non-Fermi Liquid Quantum Critical Points in 2+1 dimensions | Seminar | Slides | Video | |||

Sep 20, 2021 - 16:00-17:00 | Matteo Bertolini (SISSA, Trieste) |
The Octagon and the Non-Supersymmetric String Landscape String Landscape | Seminar | Slides | Video | |||

Sep 21, 2021 - 10:00-12:00 | Riccardo Argurio (ULB, Bruxelles) |
Phases and dualities of 3d gauge theories and their brane constructions | Seminar | |||||

Sep 22, 2021 - 15:00-16:00 | Pietro Benetti Genolini (DAMTP, Cambridge) |
Instantons, symmetries and anomalies in five dimensions | Seminar | Video | ||||

Sep 23, 2021 - 15:00-16:00 | Lorenzo Di Pietro (University of Trieste) |
Conformal boundary conditions for free fields | Seminar | Slides | Video | |||

Sep 23, 2021 - 16:00-17:00 | Alexander Abanov (Stony Brook University) |
Anomalous helicity non-conservation in Euler fluids | Seminar | Video | ||||

Sep 24, 2021 - 15:00-16:00 | Matthew Buican (Queen Mary University, London) |
Some Galois Actions in Topological Quantum Field Theory | Seminar | Slides | Video | |||

Sep 27, 2021 - 12:30-13:00 | Welcome | Introduction | ||||||

Sep 27, 2021 - 15:00-16:00 | Takuya Okuda (University of Tokyo) |
't Hooft line operators in N=2 supersymmetric gauge theories | Seminar | Slides | Video | |||

Sep 27, 2021 - 16:00-17:00 | Christian Copetti (SISSA, Trieste) |
Condensing and factorizing in low dimensional gravity | Seminar | Slides | Video | |||

Sep 28, 2021 - 15:00-17:00 | Shiraz Minwalla (TIFR, Mumbai) |
Chern-Simons-matter theories at large N | Seminar | Slides | Video | |||

Sep 29, 2021 - 15:00-16:00 | Fabio Franchini (Ruder Boskovic Institute, Zagreb) |
The frustration of being odd | Seminar | Slides | Video | |||

Sep 29, 2021 - 16:00-17:00 | Srinivas Raghu (Stanford University) |
Quantum Hall transitions with interactions and disorder: superuniversality and dynamical scaling | Seminar | Slides | Video | |||

Sep 30, 2021 - 15:00-16:00 | Paul Wiegmann (University of chicago) |
Hydrodynamics of fractional Hall states as a representation of area-preserving diffeomorphisms | Seminar | Slides | Video | |||

Sep 30, 2021 - 16:00-17:00 | Michael Mulligan (University of California, Riverside) |
Disentangling topological states with the entanglement negativity | Seminar | Slides | Video | |||

Oct 01, 2021 - 11:30-12:30 | Marco Bochicchio (INFN and Univ. of Rome, La Sapienza) |
Nonperturbative renormalization in large-N QCD-like theories and topological strings | Seminar | Slides | Video | |||

Oct 01, 2021 - 15:00-16:00 | Yasunori Lee (IPMU, Tokyo) |
Matching higher symmetries across Intriligator-Seiberg duality | Seminar | Slides | Video |