Kramers-Wannier dualities via symmetries

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.

arXiv comment4 pages, no figure

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• Kramers-Wannier duality from conformal defects
• Boundary Critical Phenomena in the Three-State Potts Model
• Boundary S-matrix for the Tricritical Ising Model
• Discrete symmetries of unitary minimal conformal theories
• Symmetric boundary conditions in boundary critical phenomena
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Cited by in corpus (5)

• Duality and defects in rational conformal field theory
• Boundary conformal field theory and symmetry protected topological phases in $2+1$ dimensions
• Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
• The classifying algebra for defects
• Duality and Form Factors in the Thermally Deformed Two-Dimensional Tricritical Ising Model