Modular anomaly of BPS black holes
High Energy Physics - Theory
2025-07-14 v2 Mathematical Physics
Algebraic Geometry
math.MP
Number Theory
Abstract
Generating functions of BPS indices, counting states of D4-D2-D0 black holes in Calabi-Yau compactifications of type IIA string theory and identified with rank 0 Donaldson- Thomas invariants, are examples of mock modular forms. They have a quite complicated modular anomaly expressed as a sum over three different types of trees weighted by generalized error functions and their derivatives. We show that this anomaly can be significantly simplified, which in turn simplfies finding the corresponding mock modular generating functions.
Keywords
Cite
@article{arxiv.2408.16819,
title = {Modular anomaly of BPS black holes},
author = {Sergei Alexandrov and Khalil Bendriss},
journal= {arXiv preprint arXiv:2408.16819},
year = {2025}
}
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29 pages