Duality relations for M coupled Potts models

Details Duality relations for M coupled Potts models Duality relations for M coupled Potts models

2000-01-25

arxiv.org/abs/cond-mat/0001367v2

Phys.Rev.E62:1,2000

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure. Improved introduction

Scientific paper

10.1103/PhysRevE.62.1

We establish explicit duality transformations for systems of M q-state Potts models coupled through their local energy density, generalising known results for M=1,2,3. The M-dimensional space of coupling constants contains a selfdual sub-manifold of dimension D_M = [M/2]. For the case M=4, the variation of the effective central charge along the selfdual 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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