Kramers-Wannier duality from conformal defects

Apr, 2004
8 pages
Published in:
  • Phys.Rev.Lett. 93 (2004) 070601
e-Print:
Report number:
  • HU-EP-04-19

Citations per year

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Abstract: (arXiv)
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.
Note:
  • Hamburger Beitrage zur Mathematik Nr. 194
  • 05.50.+q
  • 64.60.Cn
  • 11.25.Hf
  • Ising model
  • conformal field theory
  • Potts model
  • algebra
  • defect states
  • lattice theory
  • symmetry