English

Analytic Torsion on Hyperbolic Manifolds and the Semiclassical Approximation for Chern-Simons Theory

High Energy Physics - Theory 2009-10-31 v4

Abstract

The invariant integration method for Chern-Simons theory for gauge group SU(2) and manifold \Gamma\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function associated with a connected sum of hyperbolic 3-manifolds is presented. We discuss briefly L^2 - analytical and topological torsions of a manifold with boundary.

Keywords

Cite

@article{arxiv.hep-th/9805187,
  title  = {Analytic Torsion on Hyperbolic Manifolds and the Semiclassical Approximation for Chern-Simons Theory},
  author = {A. A. Bytsenko and A. E. Goncalves and W. da Cruz},
  journal= {arXiv preprint arXiv:hep-th/9805187},
  year   = {2009}
}

Comments

12 pages, LaTeX file