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Kramer-Wannier and electro-magnetic duality in field theory

Presented by: 
Constantin Teleman University of Oxford
Date: 
Wednesday 14th June 2017 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
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 TQFTs, 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. 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons