ICTP lectures on (non-) invertible generalized symmetries
S Schäfer-Nameki - Physics Reports, 2024 - Elsevier
What comprises a global symmetry of a Quantum Field Theory (QFT) has been vastly
expanded in the past 10 years to include not only symmetries acting on higher-dimensional …
expanded in the past 10 years to include not only symmetries acting on higher-dimensional …
Lectures on generalized symmetries
L Bhardwaj, LE Bottini, L Fraser-Taliente, L Gladden… - Physics Reports, 2024 - Elsevier
These are a set of lecture notes on generalized global symmetries in quantum field theory.
The focus is on invertible symmetries with a few comments regarding non-invertible …
The focus is on invertible symmetries with a few comments regarding non-invertible …
Symmetry TFTs and anomalies of non-invertible symmetries
A bstract It is known that the't Hooft anomalies of invertible global symmetries can be
characterized by an invertible TQFT in one higher dimension. The analogous statement …
characterized by an invertible TQFT in one higher dimension. The analogous statement …
Non-invertible Gauss law and axions
A bstract In axion-Maxwell theory at the minimal axion-photon coupling, we find non-
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …
Anomalies of non-invertible symmetries in (3+ 1) d
Anomalies of global symmetries are important tools for understanding the dynamics of
quantum systems. We investigate anomalies of non-invertible symmetries in 3+ 1d using 4+ …
quantum systems. We investigate anomalies of non-invertible symmetries in 3+ 1d using 4+ …
Non-invertible symmetries and higher representation theory I
The purpose of this paper is to investigate the global categorical symmetries that arise when
gauging finite higher groups in three or more dimensions. The motivation is to provide a …
gauging finite higher groups in three or more dimensions. The motivation is to provide a …
Generalized charges, part I: Invertible symmetries and higher representations
L Bhardwaj, S Schäfer-Nameki - SciPost Physics, 2024 - scipost.org
Abstract $ q $-charges describe the possible actions of a generalized symmetry on $ q $-
dimensional operators. In Part I of this series of papers, we describe $ q $-charges for …
dimensional operators. In Part I of this series of papers, we describe $ q $-charges for …
Gapped phases with non-invertible symmetries:(1+ 1) d
We propose a general framework to characterize gapped infra-red (IR) phases of theories
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …
Non-invertible symmetries of class S theories
A bstract We study the non-invertible symmetries of class\(\mathcal {S}\) theories obtained by
compactifying the type\({\mathfrak {a}} _ {p-1}\) 6d (2, 0) theory on a genus g Riemann …
compactifying the type\({\mathfrak {a}} _ {p-1}\) 6d (2, 0) theory on a genus g Riemann …
Aspects of categorical symmetries from branes: SymTFTs and generalized charges
Recently it has been observed that branes in geometric engineering and holography have a
striking connection with generalized global symmetries. In this paper we argue that branes …
striking connection with generalized global symmetries. In this paper we argue that branes …