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- Bhardwaj, Lakshya, et al.
(author)
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Unifying constructions of non-invertible symmetries
- 2023
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In: SciPost Physics. - : SciPost Foundation. - 2542-4653. ; 15:3
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Journal article (peer-reviewed)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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