Chern-Simons theory on an arbitrary manifold via surgery
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 1993
- DOI:
- 10.48550/arXiv.hep-th/9305051
- arXiv:
- arXiv:hep-th/9305051
- Bibcode:
- 1993hep.th....5051B
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- E-Print:
- 8 pages