A FAMILY OF FACE MODELS RELATED TO ZN-SYMMETRIC VERTEX MODEL OF BELAVIN-Reference-Cited by-同舟云学术

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A FAMILY OF FACE MODELS RELATED TO ZN-SYMMETRIC VERTEX MODEL OF BELAVIN

Published:2004-05 Issue:supp02 Volume:19 Page:478-509
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

YAMADA Y.¹

Affiliation:

1. Department of Mathematics, Rikkyo University, 3-34-1, Nishi Ikebukuro, Toshima-ku, Tokyo, 171-8501, Japan

Abstract

We present face-type elliptic solutions to the Yang-Baxter equation. They have 2N-2 real parameters. When specializing them to definite values, we recover the various models so far known. The intertwining relation between the face models above and the ZN-symmetric vertex model of Belavin is also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X04020580

Reference51 articles.

1. Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors

2. Rogers-Ramanujan identities in the hard hexagon model

3. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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