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Kramers-Wannier Dualities via Symmetries

2005/04/30 by Philippe Ruelle
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevlett.95.225701

published as Phys.Rev.Lett.95:225701,2005 · 4 pages, no figure

openalex publication_date 2005/11/21 · arxiv created 2005/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations