Reconstructing Braided Subcategories of $SU(N)_k$
Abstract
Ocneanu rigidity implies that there are finitely many (braided) fusion categories with a given set of fusion rules. While there is no method for determining all such categories up to equivalence, there are a few cases for which can. For example, Kazhdan and Wenzl described all fusion categories with fusion rules isomorphic to those of $SU(N)_k$. In this paper we extend their results to a statement about braided fusion categories, and obtain similar results for certain subcategories of $SU(N)_k$.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2202.00121
- arXiv:
- arXiv:2202.00121
- Bibcode:
- 2022arXiv220200121F
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Category Theory