Gravitational Chern-Simons terms and black hole entropy. Global aspects
arXiv:1207.6969 · doi:10.1007/s13130-012-4901-1
Abstract
We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.
37 pages, a few comments and references added