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 …

Lecture notes on generalized symmetries and applications

R Luo, QR Wang, YN Wang - Physics Reports, 2024 - Elsevier
In this lecture note, we give a basic introduction to the rapidly develo** concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

What's done cannot be undone: TASI Lectures on non-invertible symmetries

SH Shao - arxiv preprint arxiv:2308.00747, 2023 - arxiv.org
We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

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 …

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 …

Anomalies of non-invertible self-duality symmetries: fractionalization and gauging

A Antinucci, F Benini, C Copetti, G Galati… - arxiv preprint arxiv …, 2023 - arxiv.org
We study anomalies of non-invertible duality symmetries in both 2d and 4d, employing the
tool of the Symmetry TFT. In the 2d case we rephrase the known obstruction theory for the …

Treelike structure of symmetry topological field theories and multisector QFTs

F Baume, JJ Heckman, M Hübner, E Torres, AP Turner… - Physical Review D, 2024 - APS
The global symmetries of a D-dimensional quantum field theory (QFT) can, in many cases,
be captured in terms of a (D+ 1)-dimensional symmetry topological field theory (SymTFT). In …

On the holographic dual of a topological symmetry operator

JJ Heckman, M Hübner, C Murdia - Physical Review D, 2024 - APS
We study the holographic dual of a topological symmetry operator in the context of the
AdS/CFT correspondence. Symmetry operators arise from topological field theories …

Remarks on geometric engineering, symmetry TFTs and anomalies

M Del Zotto, SN Meynet, R Moscrop - Journal of High Energy Physics, 2024 - Springer
A bstract Geometric engineering is a collection of tools developed to establish dictionaries
between local singularities in string theory and (supersymmetric) quantum fields. Extended …

Some aspects of symmetry descent

IG Etxebarria, SS Hosseini - Journal of High Energy Physics, 2025 - Springer
A bstract In many cases the symmetry structure of quantum field theories can be neatly
encoded into their associated symmetry topological field theory (SymTFT), a topological field …