Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 21 Octobre 2021
Heure 10:00
Institut IHP
Salle 314 and with passcode 1234
Nom de l'orateur Belin
Prenom de l'orateur Alexandre
Addresse email de l'orateur
Institution de l'orateur CERN
Titre Randomness in the statistical distribution of OPE coefficients and Euclidean wormholes
Résumé The eigenstate thermalization hypothesis is one of the most universal features of chaotic quantum many-body systems, which claims that matrix elements of simple operators in high energy states has a universal structure which treats off- diagonal elements statistically. Along with the random-matrix like behaviour of energy eigenstates, it is one of the main smoking guns of quantum chaos. In this talk, I will introduce the OPE randomness hypothesis: a conjecture for the statistical distribution of OPE coefficients in chaotic conformal field theories. This hypothesis generalizes the ETH ansatz and treats OPE coefficients statistically, with a distribution given to leading order by a Gaussian distribution, with corrections exponentially suppressed in the entropy. I will give evidence for this conjecture, based on asymptotic formulas for OPE coefficients that can be derived thanks to crossing symmetry and for 2d CFTs, modular invariance. I will discuss the gravitational counterparts of these results and underline the importance of Euclidean wormholes.
Numéro de preprint arXiv
Fichiers attachés

Pour obtenir l' affiche de ce séminaire : [ Postscript | PDF ]

[ Annonces ]    [ Abonnements ]    [ Archive ]    [ Aide ]    [ ]
[ English version ]