Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech,hep-th,math-ph
Date Vendredi 9 Novembre 2018
Heure 11:00
Institut LPTHE
Salle Bibliothèque
Nom de l'orateur Shimada
Prenom de l'orateur Hirohiko
Addresse email de l'orateur
Institution de l'orateur OIST Okinawa
Titre The hierarchy of the OPE coefficients and the low-lying operators in CFT
Résumé The continuous families of CFT with varying central charge has gained importance after the revival of the conformal bootstrap in d>2. Unlike the 2d rational CFTs, the 4-point function of the fundamental fields has infinitely many intermediate channels, which shows a tree-like pattern of the unitarity violation. The O(n) model for |n|<2 offers one nice example, where such properties are studied in detail. We discuss the basic examples in arXiv:1803.06938, where the analytic properties and exponential decays of the OPE coefficients are related to the symmetry of the hyperbolic geometry. We also use a special polynomial of n arising from the multiplicities in the torus partition function and see how the low-lying dimensions are constrained from the modular invariance.
Numéro de preprint arXiv
Fichiers attachés

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

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