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Modular anomaly of BPS black holes
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Modular anomaly of BPS black holes
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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.
Forward citations
Cited by 2 Pith papers
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Black Hole Quantum Mechanics and Generalized Error Functions
Derives the general non-holomorphic completion for arbitrary n-center BPS black hole indices using localization on the refined Witten index in supersymmetric quantum mechanics, yielding generalized error functions fro...
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Revisiting the Quantum Geometry of Torus-fibered Calabi-Yau Threefolds
The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...
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