Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly

Bytsenko, A. A.; Elizalde, E.; Ulhoa, R. A.

Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly

Authors

Bytsenko, A. A.

Elizalde, E.

Ulhoa, R. A.

Description

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.
13 pages, 2 tables