Journal article
Unitary categorical symmetries
- Abstract:
- Global invertible symmetries act unitarily on local observables or states of a quantum system. In this note, we aim to generalise this statement to non-invertible symmetries by considering unitary actions of higher fusion category symmetries C on twisted sector local operators. We propose that the latter transform in ∗-representations of the tube algebra associated to C, which we introduce and classify using the notion of higher S-matrices of higher braided fusion categories.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 982.5KB, Terms of use)
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- Publisher copy:
- 10.1088/1751-8121/ae6be0
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Publisher:
- IOP Publishing
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 59
- Issue:
- 20
- Pages:
- 205204
- Article number:
- 205204
- Publication date:
- 2026-05-21
- Acceptance date:
- 2026-05-11
- DOI:
- EISSN:
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1751-8121
- ISSN:
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1751-8113
- Language:
-
English
- Keywords:
- Source identifiers:
-
4066292
- Deposit date:
-
2026-05-21
- ARK identifier:
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Terms of use
- Copyright date:
- 2026
- Licence:
- CC Attribution (CC BY)
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