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 developing concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

The branes behind generalized symmetry operators

JJ Heckman, M Hübner, E Torres… - Fortschritte der …, 2023 - Wiley Online Library
The modern approach to m‐form global symmetries in ad‐dimensional quantum field theory
(QFT) entails specifying dimension d− m− 1 dm-1 topological generalized symmetry …

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 …

Top down approach to topological duality defects

JJ Heckman, M Hübner, E Torres, X Yu, HY Zhang - Physical Review D, 2023 - APS
Topological duality defects arise as codimension one generalized symmetry operators in
quantum field theories (QFTs) with a duality symmetry. Recent investigations have shown …

On the 6d Origin of Non-invertible Symmetries in 4d

V Bashmakov, M Del Zotto, A Hasan - Journal of High Energy Physics, 2023 - Springer
A bstract It is well-known that six-dimensional superconformal field theories can be exploited
to unravel interesting features of lower-dimensional theories obtained via compactifications …

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 …

Symmetry TFTs for 3d QFTs from M-theory

M van Beest, DSW Gould, S Schäfer-Nameki… - Journal of High Energy …, 2023 - Springer
A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

R7-branes as charge conjugation operators

M Dierigl, JJ Heckman, M Montero, E Torres - Physical Review D, 2024 - APS
R7-branes are a class of recently discovered nonsupersymmetric real codimension-two
duality defects in type IIB string theory predicted by the swampland cobordism conjecture …

0-form, 1-form, and 2-group symmetries via cutting and gluing of orbifolds

M Cvetič, JJ Heckman, M Hübner, E Torres - Physical Review D, 2022 - APS
Orbifold singularities of M-theory constitute the building blocks of a broad class of
supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of …