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Phys. Rev. Lett. 95, 225701 (2005) [4 pages]

Kramers-Wannier Dualities via Symmetries

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Philippe Ruelle
Institut de Physique Théorique, Université catholique de Louvain, Chemin du Cyclotron, 2 B-1348, Louvain-La-Neuve, Belgium

Received 19 May 2005; published 21 November 2005

Kramers-Wannier dualities in lattice models are intimately connected with symmetries. We show that they can be found directly and explicitly from the symmetry transformations of the boundary states in the underlying conformal field theory. Intriguingly, the only models with a self-duality transformation turn out to be those with an auto-orbifold property.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.225701
DOI:
10.1103/PhysRevLett.95.225701
PACS:
64.60.Cn, 05.50.+q, 11.25.Hf