The \(A_ n^{(1)}\) face models
type: Item
instance of: scholarly article
title: The \(A_ n^{(1)}\) face models
zbMATH Open document ID: 0667.17008
DOI: 10.1007/BF01218344
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: Presented here is the construction of solvable two-dimensional lattice models associated with the affine Lie algebra \(A_ n^{(1)}\) and an arbitrary pair of Young diagrams. The models comprise two kinds of fluctuation variables; one lives on the sites and takes on dominant integral weights of a fixed level, the other lives on edges and assumes the weights of the representations of \(sl(n+1,{\mathbb{C}})\) specified by Young diagrams. The Boltzmann weights are elliptic solutions of the Yang- Baxter equation. Some conjectures on the one point functions are put forth.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4091715
zbMATH Keywords: two-dimensional lattice models
zbMATH Keywords: affine Lie algebra
zbMATH Keywords: Young diagrams
zbMATH Keywords: representations
zbMATH Keywords: Yang-Baxter equation
zbMATH Keywords: one point functions
author: M. Jimbo
author: Atsuo Kuniba
author: T. Miwa
author: Masato Okado
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4091715