Constructing TQFTs Using Non-Hermitian Ribbon Fusion Categories
Quantum Algebra
2024-10-23 v1 Category Theory
Abstract
In this paper, we provide a construction of a Topological Quantum Field Theory from a Non-Hermitian Ribbon Fusion Category. This is a simple method that does not involve enriching over Fusion Categories, or using other complicated structures. To substantiate this construction, we also prove theorems on the M\"uger center, braiding, and spherical structure of such a fusion category.
Cite
@article{arxiv.2410.16993,
title = {Constructing TQFTs Using Non-Hermitian Ribbon Fusion Categories},
author = {Khyathi Komalan},
journal= {arXiv preprint arXiv:2410.16993},
year = {2024}
}
Comments
19 pages