L773:2542 4653
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- Bhardwaj, LakshyaMathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road (author)
Unifying constructions of non-invertible symmetries
- Article/chapterEnglish2023
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- SciPost Foundation,2023
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- LIBRIS-ID:oai:DiVA.org:kth-338793
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-338793URI
- https://doi.org/10.21468/scipostphys.15.3.122DOI
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- Language:English
- Summary in:English
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- QC 20231026
- 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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- Schäfer-Nameki, SakuraMathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road (author)
- Tiwari, ApoorvKTH,Kondenserade materiens teori(Swepub:kth)u1lp2pen (author)
- Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock RoadKondenserade materiens teori (creator_code:org_t)
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- In:SciPost Physics: SciPost Foundation15:32542-4653
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