Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
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 non-linear 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.
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