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Title: 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.

Authors:
 [1]
  1. Institut de Physique Theorique, Universite catholique de Louvain, Chemin du Cyclotron, 2 B-1348, Louvain-La-Neuve (Belgium)
Publication Date:
OSTI Identifier:
20699614
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 22; Other Information: DOI: 10.1103/PhysRevLett.95.225701; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; DUALITY; ISING MODEL; QUANTUM FIELD THEORY; SYMMETRY; TRANSFORMATIONS

Citation Formats

Ruelle, Philippe. Kramers-Wannier Dualities via Symmetries. United States: N. p., 2005. Web. doi:10.1103/PhysRevLett.95.225701.
Ruelle, Philippe. Kramers-Wannier Dualities via Symmetries. United States. doi:10.1103/PhysRevLett.95.225701.
Ruelle, Philippe. Fri . "Kramers-Wannier Dualities via Symmetries". United States. doi:10.1103/PhysRevLett.95.225701.
@article{osti_20699614,
title = {Kramers-Wannier Dualities via Symmetries},
author = {Ruelle, Philippe},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.95.225701},
journal = {Physical Review Letters},
number = 22,
volume = 95,
place = {United States},
year = {Fri Nov 25 00:00:00 EST 2005},
month = {Fri Nov 25 00:00:00 EST 2005}
}
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