Construction of Modular Functors from Modular Tensor Categories
Quantum Algebra
2016-05-10 v2
Abstract
In this paper we follow the constructions of Turaev's book [Tu] closely, but with small modifications, to construct of a modular functor, in the sense of Kevin Walker, from any modular tensor category. We further show that this modular functor has duality and if the modular tensor category category is Hermitian or unitary, then the resulting modular functor is also Hermitian or unitary respectively.
Cite
@article{arxiv.1602.04907,
title = {Construction of Modular Functors from Modular Tensor Categories},
author = {Jørgen Ellegaard Andersen and William Petersen},
journal= {arXiv preprint arXiv:1602.04907},
year = {2016}
}
Comments
A few typos corrected from version 1