English

Kramers-Wannier duality from conformal defects

Statistical Mechanics 2009-11-10 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.cond-mat/0404051,
  title  = {Kramers-Wannier duality from conformal defects},
  author = {J"urg Fr"ohlich and J"urgen Fuchs and Ingo Runkel and Christoph Schweigert},
  journal= {arXiv preprint arXiv:cond-mat/0404051},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T11:01:43.210Z