Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 21 Septembre 2023 
Heure  10:00 
Institut  IHP 
Salle  Grisvard (314) 
Nom de l'orateur  Mazac 
Prenom de l'orateur  Dalimil 
Addresse email de l'orateur  
Institution de l'orateur  IPhT 
Titre  Conformal measure spaces 
Résumé  The conformal bootstrap equations in any dimension are an infinite set of coupled nonlinear equations in infinitely many variables. According to the lore, the solutions of the full set of equations correspond to physical CFTs. At the same time, the only solutions truly known to exist above two dimensions are mean field theories. In this talk, I will discuss conformal measure spaces, which are objects guaranteed to produce solutions of the conformal bootstrap in any dimension. I will review why hyperbolic manifolds give rise to a particular class of conformal measure spaces, and thus to solutions of the complete set of the conformal bootstrap equations. I will then use the bootstrap equations to prove new bounds on the Laplace spectra of hyperbolic manifolds in two and three dimensions. Finally, I will discuss the similarities and differences between these solutions, and those that are believed to arise in physical CFTs. 
Numéro de preprint arXiv  
Commentaires  
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