SIMIS String Math Seminar: Kramers-wannier Duality in Non-abelian Ising Models from SymTFT

报告人： Nafiz Ishtiaque (IHES)

摘要： I will present a tensor network construction of 2d Ising partition functions on lattice, with non-abelian, or 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 StymTFT results in dual descriptions of the Ising model that generalizes the Kramers-Wannier duality of Z/2Z symmetric Ising models.

时间： 4 p.m., Wednesday 22nd January, 2025

地点： online