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Unifying constructi...
Unifying constructions of non-invertible symmetries
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- Bhardwaj, Lakshya (author)
- Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road
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- Schäfer-Nameki, Sakura (author)
- Mathematical Institute, University of Oxford, Andrew-Wiles Building, Woodstock Road, Oxford, OX2 6GG, UK, Andrew-Wiles Building, Woodstock Road
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- Tiwari, Apoorv (author)
- KTH,Kondenserade materiens teori
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(creator_code:org_t)
- SciPost Foundation, 2023
- 2023
- English.
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In: SciPost Physics. - : SciPost Foundation. - 2542-4653. ; 15:3
- Related links:
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https://doi.org/10.2...
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https://urn.kb.se/re...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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