Kramers-Wannier Duality in Non-abelian Ising Models from SymTFT

by Nafiz Ishtiaque (IHES)

Wednesday Dec 4, 2024, 12:00 PM → 1:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Abstract:

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.