Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 16 Juin 2022 
Heure  11:45 
Institut  IHP 
Salle  314 and Zoom 
Nom de l'orateur  Kidambi 
Prenom de l'orateur  Abhiram 
Addresse email de l'orateur  
Institution de l'orateur  KIPMU, Tokyo 
Titre  How does N = 4 supergravity reproduce mock modularity? 
Résumé  The DijkgraafVerlindeVerlinde conjecture states that all 1/4 BPS states in four dimensional string compactification with 16 supercharges have an (indexed) partition function given by a genus 2 (Siegel) modular form of weight 10. From this Siegel modular form, one can extract the (indexed) partition of those BPS states/black holes that are immune to wall crossing effects, and these functions are a one parameter family of mock Jacobi forms (of weight 10 and where the index is parametrized by the Tduality invariant magnetic charge). These mock Jacobi forms have been analyzed extensively and it is known how to recover both the one parameter family of mock Jacobi forms and the Siegel modular form itself using the Rademacher technique. However, the question of how the BPS black hole spectrum as computed in supergravity sees this mock modularity remains an open question. Progress towards this goal is reported in this talk, along with a comprehensive introduction to the problem. 
Numéro de preprint arXiv  
Commentaires  
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 