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arXiv · 1603.01149

Chern-Simons Theory with Complex Gauge Group on Seifert Fibred 3-Manifolds

Matthias Blau·George Thompson
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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.

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Matthias Blau, George Thompson. 2016-03-03. Chern-Simons Theory with Complex Gauge Group on Seifert Fibred 3-Manifolds. https://arxiv.org/abs/1603.01149

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