Chern-Simons Theory with Complex Gauge Group on Seifert Fibred 3-Manifolds
High Energy Physics - Theory
2016-03-04 v1 Geometric Topology
Abstract
We consider Chern-Simons theory with complex gauge group and present a complete non-perturbative evaluation of the path integral (the partition function and certain expectation values of Wilson loops) on Seifert fibred 3-Manifolds. We use the method of Abelianisation. In certain cases the path integral can be seen to factorize neatly into holomorphic and anti-holomorphic parts. We obtain closed formulae of this factorization for the expectation values of torus knots.
Keywords
Cite
@article{arxiv.1603.01149,
title = {Chern-Simons Theory with Complex Gauge Group on Seifert Fibred 3-Manifolds},
author = {Matthias Blau and George Thompson},
journal= {arXiv preprint arXiv:1603.01149},
year = {2016}
}
Comments
23 pages, 2 figures