Chern-Simons theory on an arbitrary manifold via surgery

Details Chern-Simons theory on an arbitrary manifold via surgery Chern-Simons theory on an arbitrary manifold via surgery

1993-05-12

arxiv.org/abs/hep-th/9305051v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

A general formula for physical observables in Chern-Simons theory with an arbitrary compact Lie group $G$, on an arbitrary closed oriented three-dimensional manifold $\cM$ is derived in terms of vacuum expectation values of Wilson loops in ${\cal S}^3$. Surgery presentation of $\cM$ and the Kirby moves are implemented as the main ingredients of the approach. The case of $G={\rm SU}(n)$ is explicitly calculated.

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