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Statut |
Confirmé |
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Série |
RENC-THEO |
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Domaines |
hep-th |
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Date |
Jeudi 20 Avril 2023 |
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Heure |
11:45 |
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Institut |
IHP |
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Salle |
201 |
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Nom de l'orateur |
Alexandrov |
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Prenom de l'orateur |
Sergey |
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Addresse email de l'orateur |
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Institution de l'orateur |
Université de Montpellier |
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Titre |
Modularity of BPS black holes |
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Résumé |
I'll review the recent results on modular properties of generating functions of
BPS indices counting states of D4-D2-D0 black holes
in Calabi-Yau compactifications of type IIA string theory. These generating
functions can be shown to be (higher depth) mock
modular forms with a specific non-holomorphic modular completion. This result
turns out to have a wider range of applicability than
the original framework and has numerous applications ranging from
compactifications with higher SUSY to Vafa-Witten theory. In the
end, I'll show how one can determine the generating functions explicitly for
compact Calabi-Yau threefolds with one Kahler
modulus, and how this allows to overcome the usual limitations for computation of
GV, DT and PT topological invariants. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
- Alexandrov_2023.pdf (1328864 bytes)
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