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Non-invertible higher-categorical symmetries

Abstract:

We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of topological defects associated to the symmetries. We also discuss fusions of topological defects, which involve condensations/gaugings of higher-categorical symmetries localized on the worldvolumes of topological defects. Recently some fusions of topological defects were discussed in the literature where...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
14
Issue:
1
Article number:
7
Publication date:
2023-01-26
Acceptance date:
2022-09-20
DOI:
EISSN:
2542-4653
Language:
English
Keywords:
Pubs id:
1325738
Local pid:
pubs:1325738
Deposit date:
2023-01-27

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