Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEED
Domaines math-ph
Date Mercredi 4 Décembre 2024
Heure 12:00
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Ishtiaque
Prenom de l'orateur Nafiz
Addresse email de l'orateur
Institution de l'orateur IHES
Titre Kramers-Wannier Duality in Non-abelian Ising Models from SymTFT
Résumé I will present a concrete construction of 2d Ising partition functions on lattice, with non-abelian (more generally non-invertible) global symmetry. The construction realizes the Ising model as the boundary theory of a 3d symmetry topological field theory (SymTFT) with specific boundary conditions. Suitable choices of boundary conditions correspond to going to different topological sectors of the global symmetry or gauging arbitrary non-anomalous subsymmetry. Electric-magnetic type duality of the SymTFT results in dual descriptions of the Ising model that generalizes the Kramers-Wannier duality of Z/2Z symmetric Ising models.
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