Unifying constructions of non-invertible symmetries
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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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SciPost
2023
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| _version_ | 1797113282512814080 |
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| author | Bhardwaj, L Schäfer-Nameki, S Tiwari, A |
| author_facet | Bhardwaj, L Schäfer-Nameki, S Tiwari, A |
| author_sort | Bhardwaj, L |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-04-23T08:26:21Z |
| format | Journal article |
| id | oxford-uuid:c275b003-3745-4186-a0f2-6eb05b6a5b00 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-04-23T08:26:21Z |
| publishDate | 2023 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:c275b003-3745-4186-a0f2-6eb05b6a5b002024-04-16T12:41:21ZUnifying constructions of non-invertible symmetriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c275b003-3745-4186-a0f2-6eb05b6a5b00EnglishSymplectic ElementsSciPost2023Bhardwaj, LSchäfer-Nameki, STiwari, AIn 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. |
| spellingShingle | Bhardwaj, L Schäfer-Nameki, S Tiwari, A Unifying constructions of non-invertible symmetries |
| title | Unifying constructions of non-invertible symmetries |
| title_full | Unifying constructions of non-invertible symmetries |
| title_fullStr | Unifying constructions of non-invertible symmetries |
| title_full_unstemmed | Unifying constructions of non-invertible symmetries |
| title_short | Unifying constructions of non-invertible symmetries |
| title_sort | unifying constructions of non invertible symmetries |
| work_keys_str_mv | AT bhardwajl unifyingconstructionsofnoninvertiblesymmetries AT schafernamekis unifyingconstructionsofnoninvertiblesymmetries AT tiwaria unifyingconstructionsofnoninvertiblesymmetries |