SciPost logo

Unifying constructions of non-invertible symmetries

Lakshya Bhardwaj, Sakura Schäfer-Nameki, Apoorv Tiwari

SciPost Phys. 15, 122 (2023) · published 28 September 2023

Abstract

In the past year several constructions of non-invertible symmetries in Quantum Field Theory in $d≥3$ have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.

Cited by 30

Crossref Cited-by

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funders for the research work leading to this publication