Unitary categorical symmetries

Journal of Physics A Mathematical and Theoretical 2026 Open access

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Authors: Thomas Bartsch
DOI: 10.1088/1751-8121/ae6be0
Cited by: 0
References: 73

Abstract

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.

Fields of Study & Subjects

Advanced Scientific Research Methods Mathematics and Applications

Publication details

Journal / source
Journal of Physics A Mathematical and Theoretical
Publisher
IOP Publishing
Volume
59
Issue
20
Pages
205204–205204
Publication date
11 May 2026
Language
EN