Chern-Simons Theory and the $R$-Matrix
High Energy Physics - Theory
2019-05-10 v1 Mathematical Physics
math.MP
Abstract
It has been a long-standing problem how to relate Chern-Simons theory to the quantum groups. In this paper we recover the classical -matrix directly from a 3-dimensional Chern-Simons theory with boundary conditions, thus creating a direct link to the quantum groups. It is known that the Jones polynomials can be constructed using an -matrix. We show how these constructions can be seen to arise directly from 3-dimensional Chern-Simons theory.
Keywords
Cite
@article{arxiv.1905.03263,
title = {Chern-Simons Theory and the $R$-Matrix},
author = {Nanna Havn Aamand},
journal= {arXiv preprint arXiv:1905.03263},
year = {2019}
}
Comments
16 pages, 9 figures