Simple current auto-equivalences of modular tensor categories
Quantum Algebra
2019-02-26 v1 Category Theory
Abstract
In this short note we investigate the process of constructing auto-equivalences of modular tensor categories using invertible objects. We derive conditions on the invertible object for the resulting auto-equivalence to be either monoidal, braided, or pivotal. We also discuss the composition of these auto-equivalences constructed from invertible objects. To demonstrate the practicality of this construction, we construct auto-equivalences of several real-world examples of modular tensor categories.
Cite
@article{arxiv.1902.09498,
title = {Simple current auto-equivalences of modular tensor categories},
author = {Cain Edie-Michell},
journal= {arXiv preprint arXiv:1902.09498},
year = {2019}
}
Comments
12 pages, comments welcome