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Nuclear Physics B

Yang-Baxter equation for the sl(n) chiral potts model

Rinat Kashaev, Vladimir V. Mangazeev, Tomoki Nakanishi

Published Sep 1, 1991• 17 citations
Publisher
DOI
10.1016/0550-3213(91)90542-6

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The Nn(n–1)/2-state R-matrix related to U q( sl (n)) algebra at q2N=1 is presented. Its matrix elements are interpreted as Boltzmann weights of an elementary box of some 2D lattice statistical model and given in terms of [Formula: see text] weights of the "minimal" sl (n) chiral Potts model. The corresponding family of transfer matrices depends on n rapidity variables living on high genus algebraic curves, the latter being defined by n moduli. The Yang-Baxter equation is conjectured to hold.

Modern Physics Letters A•Sep 28, 1992•1 citation
Spectrum of superintegrable chiral Potts model and L(sl2)_{2})2​) symmetry in associated XXZ-type spin chain
The Nn(n–1)/2-state R-matrix related to U q( sl (n)) algebra at q2N=1 is presented. Its matrix elements are interpreted as Boltzmann weights of an elementary box of some 2D lattice statistical model and given in terms of [Formula: see text] weights of the "minimal" sl (n) chiral Potts model. The corresponding family of transfer matrices depends on n rapidity variables living on high genus algebraic curves, the latter being defined by n moduli. The Yang-Baxter equation is conjectured to hold.