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Kramers-Wannier duality from conformal defects

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arxiv cond-mat/0404051 v2 pith:JR2MSLQ3 submitted 2004-04-02 cond-mat.stat-mech hep-th

classification cond-mat.stat-mechhep-th
keywords conformaldefectsdualitykramers-wanniermodeltheoryalgebraallows
verification ladder T0 review T1 audit T2 compute T3 formal
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We demonstrate that the fusion algebra of conformal defects of a two-dimensional conformal field theory contains information about the internal symmetries of the theory and allows one to read off generalisations of Kramers-Wannier duality. We illustrate the general mechanism in the examples of the Ising model and the three-states Potts model.

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