Z_N x Z_N Generalization of the Chiral Potts Model

Vladimir Mangazeev; Vladimir Bazhanov; Rinat Kashaev

Z_N x Z_N Generalization of the Chiral Potts Model

Vladimir Mangazeev, Vladimir Bazhanov, Rinat Kashaev

Research output: Other contribution

Abstract

V.V. Bazhanov, R.M. Kashaev, V.V. Mangazeev. Zjf x ZN Generalization of the
Chiral Potts Model: IHEP Preprint 90-136. — Protvino, 1990. — p. 19, refs.: 13.
We show that the Д-matrix which intertwines two 3-by-N2 state cyclic L-opera
tors can be considered as a Boltzmann weight of four-spin box for a lattice model
with two-spin interaction just as the Д-matrix of the checkerboard chiral Potts model.
The rapidity variables He on the same algebraic curve as in the chiral Potts model.
Factorization properties of the ^-operator and its connection to the SOS models, are
also discussed.

Original language	English
Number of pages	23
Publication status	Published - 1990

Access to Document

https://inis.iaea.org/collection/NCLCollectionStore/_Public/22/061/22061391.pdf

Cite this

@misc{adb7f64e67af44f5931ff102dce326eb,

title = "Z_N x Z_N Generalization of the Chiral Potts Model",

abstract = " V.V. Bazhanov, R.M. Kashaev, V.V. Mangazeev. Zjf x ZN Generalization of the Chiral Potts Model: IHEP Preprint 90-136. — Protvino, 1990. — p. 19, refs.: 13. We show that the Д-matrix which intertwines two 3-by-N2 state cyclic L-operators can be considered as a Boltzmann weight of four-spin box for a lattice model with two-spin interaction just as the Д-matrix of the checkerboard chiral Potts model. The rapidity variables He on the same algebraic curve as in the chiral Potts model. Factorization properties of the ^-operator and its connection to the SOS models, are also discussed.",

author = "Vladimir Mangazeev and Vladimir Bazhanov and Rinat Kashaev",

note = " Institute for High Energy Physics, 1990.",

year = "1990",

language = "English",

type = "Other",

}

TY - GEN

T1 - Z_N x Z_N Generalization of the Chiral Potts Model

AU - Mangazeev, Vladimir

AU - Bazhanov, Vladimir

AU - Kashaev, Rinat

N1 - Institute for High Energy Physics, 1990.

PY - 1990

Y1 - 1990

N2 - V.V. Bazhanov, R.M. Kashaev, V.V. Mangazeev. Zjf x ZN Generalization of the Chiral Potts Model: IHEP Preprint 90-136. — Protvino, 1990. — p. 19, refs.: 13. We show that the Д-matrix which intertwines two 3-by-N2 state cyclic L-operators can be considered as a Boltzmann weight of four-spin box for a lattice model with two-spin interaction just as the Д-matrix of the checkerboard chiral Potts model. The rapidity variables He on the same algebraic curve as in the chiral Potts model. Factorization properties of the ^-operator and its connection to the SOS models, are also discussed.

AB - V.V. Bazhanov, R.M. Kashaev, V.V. Mangazeev. Zjf x ZN Generalization of the Chiral Potts Model: IHEP Preprint 90-136. — Protvino, 1990. — p. 19, refs.: 13. We show that the Д-matrix which intertwines two 3-by-N2 state cyclic L-operators can be considered as a Boltzmann weight of four-spin box for a lattice model with two-spin interaction just as the Д-matrix of the checkerboard chiral Potts model. The rapidity variables He on the same algebraic curve as in the chiral Potts model. Factorization properties of the ^-operator and its connection to the SOS models, are also discussed.

M3 - Other contribution

ER -

Z_N x Z_N Generalization of the Chiral Potts Model

Abstract

Access to Document

Fingerprint

Cite this