Modular anomaly of BPS black holes

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...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Sergei Alexandrov, Khalil Bendriss
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Subjects:
Black Holes in String Theory
String Duality
Online Access:https://doi.org/10.1007/JHEP12(2024)180
Description
Summary: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.
ISSN:1029-8479

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