Indefinite theta functions and black hole partition functions
High Energy Physics - Theory
2014-07-03 v3
Abstract
We explore various aspects of supersymmetric black hole partition functions in four-dimensional toroidally compactified heterotic string theory. These functions suffer from divergences owing to the hyperbolic nature of the charge lattice in this theory, which prevents them from having well-defined modular transformation properties. In order to rectify this, we regularize these functions by converting the divergent series into indefinite theta functions, thereby obtaining fully regulated single-centered black hole partitions functions.
Cite
@article{arxiv.1309.4428,
title = {Indefinite theta functions and black hole partition functions},
author = {Gabriel Lopes Cardoso and Michele Cirafici and Rogerio Jorge and Suresh Nampuri},
journal= {arXiv preprint arXiv:1309.4428},
year = {2014}
}
Comments
35 pages; v2: various comments added; v3: a few typos corrected