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 …
Non-invertible condensation, duality, and triality defects in 3+ 1 dimensions
We discuss a variety of codimension-one, non-invertible topological defects in general 3+ 1d
QFTs with a discrete one-form global symmetry. These include condensation defects from …
QFTs with a discrete one-form global symmetry. These include condensation defects from …
Non-invertible higher-categorical symmetries
L Bhardwaj, LE Bottini, S Schäfer-Nameki, A Tiwari - SciPost Physics, 2023 - scipost.org
We sketch a procedure to capture general non-invertible symmetries of a $ d $-dimensional
quantum field theory in the data of a higher-category, which captures the local properties of …
quantum field theory in the data of a higher-category, which captures the local properties of …
Noninvertible time-reversal symmetry
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 …
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …
Non-invertible symmetries of = 4 SYM and twisted compactification
A bstract Non-invertible symmetries have recently been understood to provide interesting
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …
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 …
(QFT) entails specifying dimension d− m− 1 dm-1 topological generalized symmetry …
Introduction to generalized global symmetries in QFT and particle physics
TD Brennan, S Hong - arXiv preprint arXiv:2306.00912, 2023 - arxiv.org
Generalized symmetries (also known as categorical symmetries) is a newly developing
technique for studying quantum field theories. It has given us new insights into the structure …
technique for studying quantum field theories. It has given us new insights into the structure …
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 …
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 …
to unravel interesting features of lower-dimensional theories obtained via compactifications …