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Kramer-Wannier and electro-magnetic duality in field theory

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OASW03 - Subfactors, K-theory and conformal field theory

A classical duality (Kramer-Wannier) relates the low and high temperature of the 2-dimensional Ising model. It has been generalized to other dimensions and groups other than Z/2 and distilled into Poincare duality combined with the Abelian Fourier transform. In this talk, I describe a vast generalization in the language of topological field theories, which includes non-Abelian examples. Via the notion of boundary field theory, thus is related to a duality of TQF Ts, specifically electro-magnetic duality in 3 dimensions. There arises a natural speculation about invertibility of gapped phases in a large class of lattice models. This is joint work (in progress) with Dan Freed. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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