Cohomological localization of Chern-Simons theory

Details Cohomological localization of Chern-Simons theory Cohomological localization of Chern-Simons theory

2011-04-28

arxiv.org/abs/1104.5353v2

JHEP 1108:008,2011

Physics

High Energy Physics

High Energy Physics - Theory

36 pages; v2: minor corrections, matches the version published in JHEP

Scientific paper

10.1007/JHEP08(2011)008

We generalize the framework introduced by Kapustin et al. for doing path integral localization in Chern-Simons theory to work on any Seifert manifold. This is done by topologically twisting the supersymmetric theory considered by Kapustin et al., after which the theory takes a cohomological form. We also consider Wilson loops which wrap the fiber directions and compute their expectation values. We discuss the relation with other approaches to exact path integral calculations in Chern-Simons theory.

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