Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly

Details Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly

2003-07-09

arxiv.org/abs/math-ph/0307021v1

J.Phys.A37:2479-2486,2004

Physics

Mathematical Physics

13 pages, 2 tables

Scientific paper

10.1088/0305-4470/37/6/036

We study gauge theories based on abelian $p-$forms on real compact hyperbolic manifolds. An explicit formula for the conformal anomaly corresponding to skew--symmetric tensor fields is obtained, by using zeta--function regularization and the trace tensor kernel formula. Explicit exact and numerical values of the anomaly for $p-$forms of order up to $p=4$ in spaces of dimension up to $n=10$ are then calculated.

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