Unifying constructions of non-invertible symmetries
Lakshya Bhardwaj, Sakura Schäfer-Nameki, Apoorv Tiwari
SciPost Phys. 15, 122 (2023) · published 28 September 2023
- doi: 10.21468/SciPostPhys.15.3.122
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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.
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Funders for the research work leading to this publication
- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])
- National Science Foundation [NSF]
- Simons Foundation
- Vetenskapsrådet / Swedish Research Council