Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série PT-IHES
Domaines hep-th
Date Jeudi 20 Mars 2025
Heure 16:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Popov
Prenom de l'orateur Fedor
Addresse email de l'orateur
Institution de l'orateur Stony Brook U., New York, SCGP
Titre Factorizing Defects from Generalized Pinning Fields
Résumé We introduce generalized pinning fields in conformal field theory that model a large class of critical impurities at large distance, enriching the familiar universality classes. We provide a rigorous definition of such defects as certain unbounded operators on the Hilbert space and prove that when inserted on codimension-one surfaces they factorize the spacetime into two halves. The possible factorization channels are further constrained by symmetries in the bulk. As a corollary, we solve such critical impurities in the 2d tricritical Ising model and establish the factorization phenomena previously observed for localized mass deformations in the 3d O(N) model. If time permits, I will also explore the characteristics of these defects, including their density of states and the asymptotic behavior of one-point functions.
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