• Corpus ID: 251554870

Non-invertible Symmetries and Higher Representation Theory I

  title={Non-invertible Symmetries and Higher Representation Theory I},
  author={Thomas Bartsch and Mathew Bullimore and Andrea E. V. Ferrari and Jamie Pearson},
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 common perspective on constructions of non-invertible global symmetries in higher dimensions and a precise description of the associated symmetry categories. This paper focusses on gauging finite groups and split 2-groups in three dimensions. In addition to topological Wilson lines, we show that this generates a… 

Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices

: Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories.

Universal Non‐Invertible Symmetries

It is well‐known that gauging a finite 0‐form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the representations of

The holography of non-invertible self-duality symmetries

We study how non-invertible self-duality defects arise in theories with a holographic dual. We focus on the paradigmatic example of su(N) N = 4 SYM. The theory is known to have non-invertible duality

Non-invertible Symmetries of Class $\mathcal{S}$ Theories

We study the non-invertible symmetries of class S theories obtained by compactifying the type ap−1 6d (2,0) theory on a genus g Riemann surface with no punctures. After setting up the general

The Branes Behind Generalized Symmetry Operators

The modern approach to m -form global symmetries in a d -dimensional quantum field theory (QFT) entails specifying dimension d − m − 1 topological generalized symmetry operators which non-trivially

Decomposition, Condensation Defects, and Fusion

In this paper we outline the application of decomposition to condensation defects and their fusion rules. Briefly, a condensation defect is obtained by gauging a higher‐form symmetry along a

Neutrino Masses from Generalized Symmetry Breaking

We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of Z (cid:48) bosons generically contain ‘non-invertible’ chiral symmetries, whose presence

On Triality Defects in 2d CFT

This work studied the physical implication of this triality fusion category including deriving the spin selection rule, computing the asymptotic density of states of irreducible representations of the fusion category symmetries, and analyzing its anomaly and constraints under the renormalization group flow.