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VOL. 19 | 1989 A New Family of Solvable Lattice Models Associated with $A_{n}^{(1)}$

## Abstract

Presented is a new family of solvable solid-on-solid models in two-dimensional statistical mechanics. The site variables take the values in a set of not necessarily dominant integral weights of the affine Lie algebra $A^{(1)}_n$. The local state probabilities are obtained and the critical behavior is studied. Our family gives an extension of some recently discovered hierarchies of solvable solid-on-solid models.

## Information

Published: 1 January 1989
First available in Project Euclid: 17 June 2018

zbMATH: 0712.17022
MathSciNet: MR1048601

Digital Object Identifier: 10.2969/aspm/01910367