Communication Dans Un Congrès Année : 2025

Modular bootstrap for BPS black holes

Sergey Alexandrov

Résumé

BPS indices encoding the entropy of supersymmetric black holes in compactifications of Type II string theory on Calabi-Yau threefolds, known in mathematics as generalized Donaldson-Thomas invariants, possess remarkable (mock) modular properties. I'll explain the physical origin of mock modularity and show, for a set of one-parameter threefolds, how it can be used, together with wall-crossing and direct integration of topological string, to compute the BPS indices and other topological invariants. As a result, one obtains explicit (mock) modular functions encoding infinite sets of D4-D2-D0 BPS indices as well as new boundary conditions for the holomorphic anomaly equation of the topological string partition function allowing to overcome the limitations of the direct integration method. In the end, I'll present preliminary results on the asymptotic growth of DT invariants hinting for the existence of some phase transitions.

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Dates et versions

hal-05340685 , version 1 (31-10-2025)

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  • HAL Id : hal-05340685 , version 1

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Sergey Alexandrov. Modular bootstrap for BPS black holes. Strings Online Lisbon Workshop 2025, Oct 2025, Lisbon (Online Event), Portugal. ⟨hal-05340685⟩
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