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

INFOS

The activity will be both online and in-person.
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