Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
High Energy Physics - Theory
2025-10-08 v1 Number Theory
Abstract
We introduce manifestly duality invariant generating function of the index of single centered black holes in the heterotic string theory compactified on a six dimensional torus. This function is obtained by subtracting, from the inverse of the Igusa cusp form, the generating function of the index of two centered black holes constructed from the Dedekind eta function. We also study the analytic properties of this function in the Siegel upper half plane.
Keywords
Cite
@article{arxiv.2510.05219,
title = {Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form},
author = {Ajit Bhand and Ashoke Sen and Ranveer Kumar Singh},
journal= {arXiv preprint arXiv:2510.05219},
year = {2025}
}
Comments
38 pages, 3 figures