Séminaire de Mathématique

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

by Nafiz Ishtiaque (IHES)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres CS40001 91893 Bures-sur-Yvette Cedex
Description

Seed Seminar of Mathematics and Physics

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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Organized by

Matteo D’Achille (LMO)
Aymane El Fardi (EIGSI)
Veronica Fantini (LMO)
Emmanuel Kammerer (CMAP)
Edoardo Lauria (LPENS & CAS)
Sophie Mutzel (LPENS & CAS)
Junchen Rong (CPhT)

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