Higher gauging and non-invertible condensation defects

K Roumpedakis, S Seifnashri, SH Shao - … in Mathematical Physics, 2023 - Springer
We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

Noninvertible duality defects in dimensions

Y Choi, C Cordova, PS Hsin, HT Lam, SH Shao - Physical Review D, 2022 - APS
For any quantum system invariant under gauging a higher-form global symmetry, we
construct a noninvertible topological defect by gauging in only half of the spacetime. This …

Symmetry TFTs for non-invertible defects

J Kaidi, K Ohmori, Y Zheng - Communications in Mathematical Physics, 2023 - Springer
Given any symmetry acting on ad-dimensional quantum field theory, there is an associated
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …

Snowmass white paper: Generalized symmetries in quantum field theory and beyond

C Cordova, TT Dumitrescu, K Intriligator… - arXiv preprint arXiv …, 2022 - arxiv.org
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

Non-invertible condensation, duality, and triality defects in 3+ 1 dimensions

Y Choi, C Córdova, PS Hsin, HT Lam… - … in Mathematical Physics, 2023 - Springer
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 …

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 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 …

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 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 …

Non-invertible symmetries of = 4 SYM and twisted compactification

J Kaidi, G Zafrir, Y Zheng - Journal of High Energy Physics, 2022 - Springer
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 …