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Unifying constructions of non-invertible symmetries
Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road.
Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road.
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0003-4742-775X
2023 (English)In: SciPost Physics, E-ISSN 2542-4653, Vol. 15, no 3, article id 122Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
SciPost Foundation , 2023. Vol. 15, no 3, article id 122
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Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-338793DOI: 10.21468/scipostphys.15.3.122Scopus ID: 2-s2.0-85173254130OAI: oai:DiVA.org:kth-338793DiVA, id: diva2:1807385
Note

QC 20231026

Available from: 2023-10-26 Created: 2023-10-26 Last updated: 2023-10-26Bibliographically approved

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Tiwari, Apoorv

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