Reconstructing Braided Subcategories of $SU(N)_k$
Quantum Algebra
2022-04-27 v2 Category Theory
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 . In this paper we extend their results to a statement about braided fusion categories, and obtain similar results for certain subcategories of .
Keywords
Cite
@article{arxiv.2202.00121,
title = {Reconstructing Braided Subcategories of $SU(N)_k$},
author = {Zhaobidan Feng and Eric C. Rowell and Shuang Ming},
journal= {arXiv preprint arXiv:2202.00121},
year = {2022}
}