Kramers-Wannier duality from conformal defects

Abstract

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.

8 pages, 4 figures; v2: version published in PRL

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