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Jacobsen JL. Duality relations for M coupled potts models. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000;62(1):R1-4doi: 10.1103/physreve.62.r1.
Jacobsen, J. L. (2000). Duality relations for M coupled potts models. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 62(1), R1-4. https://doi.org/10.1103/physreve.62.r1
Jacobsen. "Duality relations for M coupled potts models." Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics vol. 62,1 (2000): R1-4. doi: https://doi.org/10.1103/physreve.62.r1
Jacobsen JL. Duality relations for M coupled potts models. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1):R1-4. doi: 10.1103/physreve.62.r1. PMID: 11088510.
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Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1):R1-4. doi: 10.1103/physreve.62.r1.

Duality relations for M coupled potts models.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Jacobsen

Affiliations

  1. LPTMS, Bainsertion marktiment 100, Universite Paris-Sud, F-91405 Orsay, France.

PMID: 11088510 DOI: 10.1103/physreve.62.r1

Abstract

We establish explicit duality transformations for systems of M q-state Potts models coupled through their local energy density, generalizing known results for M=1,2,3. The M-dimensional space of coupling constants contains a self-dual submanifold of dimension D(M)=[M/2]. For the case M=4, the variation of the effective central charge along the self-dual surface is investigated by numerical transfer matrix techniques. Evidence is given for the existence of a family of critical points, corresponding to conformal field theories with an extended S(M) symmetry algebra.

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