Explicit Factorization of a Categorical Center
Quantum Algebra
2021-11-16 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
Given a braided fusion category , it is well known that the natural map from the square of to the (Drinfeld) categorical center is an equivalence if and only if is modular. However, it is not clear how to construct the inverse and the natural isomorphisms. In this work, we provide an explicit construction using insights from a specific quantum field theory, and explore how the equivalence fails for the degenerate cases.
Cite
@article{arxiv.2111.06919,
title = {Explicit Factorization of a Categorical Center},
author = {Jin-Cheng Guu and Ying Hong Tham},
journal= {arXiv preprint arXiv:2111.06919},
year = {2021}
}