Communication Dans Un Congrès Année : 2024

Mock modularity of BPS black holes

Sergey Alexandrov

Résumé

I'll explain the modular properties, and their physical origin, of the generating functions of D4-D2-D0 BPS indices counting black hole states in Calabi-Yau compactifications of string theory. These properties can be used to find generating functions up to a finite number of coefficients, the so-called polar terms, which in turn can be fixed using wall-crossing. I'll show how this program is realized for compact one-parameter Calabi-Yau threefolds and 2 units of D4-brane charge, leading to explicit mock modular forms encoding BPS indices. For higher charges, the polar terms remain so far inaccessible, but I'll present a general solution of modular anomaly equations in terms of indefinite theta series.

Alexandrov-Lisbon.pdf (1.75 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04821396 , version 1 (05-12-2024)

Identifiants

  • HAL Id : hal-04821396 , version 1

Citer

Sergey Alexandrov. Mock modularity of BPS black holes. Strings Online Lisbon Workshop, Oct 2024, Lisbon (Online Event), Portugal. ⟨hal-04821396⟩
27 Consultations
17 Téléchargements

Partager

  • More