The conformal anomaly in N-dimensional space having a hyperbolic spatial section

Abstract

The conformal anomaly for spinors and scalars on a N-dimensional hyperbolic space is calculated explicitly, by using zeta-function regularization techniques and the Selberg trace formula. In the case of conformally invariant spinors and scalars the results are very much related with those corresponding to a N-dimensional sphere.

10 pages, LATEX file, to appear in J. of Math.Phys

References in corpus (4)

• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Conformal Symmetry and Central Charges in 4 Dimensions
• Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
• Conformal dynamics of quantum gravity with torsion

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• Determinant of Laplacian on a non-compact 3-dimensional hyperbolic manifold with finite volume
• The Conformal Anomaly in General Rank 1 Symmetric Spaces and Associated Operator Product
• Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime
• Anomalies and Analytic Torsion on Hyperbolic Manifolds
• Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly