Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants
classification
✦ hep-th
keywords
hyperbolicsemiclassicalapproximationchern-simonscompactinvarianttheoryanalytic
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The invariant integration method for Chern-Simons theory defined on the compact hyperbolic manifold {\Gamma}\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function is presented. We discuss briefly L^2 - analytic torsion and the eta invariant of Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds.
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