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 …

Generalized symmetries in condensed matter

J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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Noninvertible time-reversal symmetry

Y Choi, HT Lam, SH Shao - Physical Review Letters, 2023 - APS
In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …

Non-invertible global symmetries and completeness of the spectrum

B Heidenreich, J McNamara, M Montero… - Journal of High Energy …, 2021 - Springer
A bstract It is widely believed that consistent theories of quantum gravity satisfy two basic
kinematic constraints: they are free from any global symmetry, and they contain a complete …

Symmetries in quantum field theory and quantum gravity

D Harlow, H Ooguri - Communications in Mathematical Physics, 2021 - Springer
In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

On continuous 2-category symmetries and Yang-Mills theory

A Antinucci, G Galati, G Rizi - Journal of High Energy Physics, 2022 - Springer
A bstract We study a 4d gauge theory U (1) N− 1⋊ SN obtained from a U (1) N− 1 theory by
gauging a 0-form symmetry S N. We show that this theory has a global continuous 2 …

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetry

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 …

Generalized global symmetries

D Gaiotto, A Kapustin, N Seiberg, B Willett - Journal of High Energy …, 2015 - Springer
A bstract A q-form global symmetry is a global symmetry for which the charged operators are
of space-time dimension q; eg Wilson lines, surface defects, etc., and the charged …

5d and 4d SCFTs: canonical singularities, trinions and S-dualities

C Closset, S Giacomelli, S Schäfer-Nameki… - Journal of High Energy …, 2021 - Springer
A bstract Canonical threefold singularities in M-theory and Type IIB string theory give rise to
superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study …

Renormalization group flows on line defects

G Cuomo, Z Komargodski, A Raviv-Moshe - Physical Review Letters, 2022 - APS
We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT
places nontrivial constraints on renormalization group (RG) flows on such line defects. We …