Kramers-Wannier duality from conformal defects

Details Kramers-Wannier duality from conformal defects Kramers-Wannier duality from conformal defects

2004-04-02

arxiv.org/abs/cond-mat/0404051v2

Phys.Rev.Lett. 93 (2004) 070601

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevLett.93.070601

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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