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 …

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 …

Symmetry TFTs and anomalies of non-invertible symmetries

J Kaidi, E Nardoni, G Zafrir, Y Zheng - Journal of High Energy Physics, 2023 - Springer
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 …

Non-invertible Gauss law and axions

Y Choi, HT Lam, SH Shao - Journal of High Energy Physics, 2023 - Springer
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 …

Anomalies of non-invertible symmetries in (3+ 1) d

C Córdova, PS Hsin, C Zhang - SciPost Physics, 2024 - scipost.org
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+ …

Non-invertible symmetries and higher representation theory I

T Bartsch, M Bullimore, AEV Ferrari, J Pearson - SciPost Physics, 2024 - scipost.org
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 …

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 …

Gapped phases with non-invertible symmetries:(1+ 1) d

L Bhardwaj, LE Bottini, D Pajer, S Schäfer-Nameki - SciPost Physics, 2025 - scipost.org
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 …

Non-invertible symmetries of class S theories

V Bashmakov, M Del Zotto, A Hasan, J Kaidi - Journal of High Energy …, 2023 - Springer
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 …

Aspects of categorical symmetries from branes: SymTFTs and generalized charges

F Apruzzi, F Bonetti, DSW Gould, S Schäfer-Nameki - SciPost Physics, 2024 - scipost.org
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 …