Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly
Mathematical Physics
2008-11-26 v1 Functional Analysis
math.MP
Abstract
We study gauge theories based on abelian 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 forms of order up to in spaces of dimension up to are then calculated.
Cite
@article{arxiv.math-ph/0307021,
title = {Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly},
author = {A. A. Bytsenko and E. Elizalde and R. A. Ulhoa},
journal= {arXiv preprint arXiv:math-ph/0307021},
year = {2008}
}
Comments
13 pages, 2 tables