Higher gauging and non-invertible condensation defects
We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
Noninvertible duality defects in dimensions
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 …
construct a noninvertible topological defect by gauging in only half of the spacetime. This …
Symmetry TFTs for non-invertible defects
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 …
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …
Snowmass white paper: Generalized symmetries in quantum field theory and beyond
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 …
symmetries that act on defects and other subsystems, and symmetries that are categorical …
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 …
Symmetry TFTs and anomalies of non-invertible symmetries
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 …
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 …
gauging finite higher groups in three or more dimensions. The motivation is to provide a …
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 Gauss law and axions
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 …
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …
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 …