Title: Elliptic supersymmetric integrable model and multivariable elliptic functions,
Abstract: We investigate the elliptic integrable model introduced by Deguchi and
Martin, which is an elliptic extension of the Perk-Schultz model. We introduce
and study a class of partition functions of the elliptic model by using the
Izergin-Korepin analysis. We show that the partition functions are expressed as
a product of elliptic factors and elliptic Schur-type symmetric functions. This
result resembles the recent works by number theorists in which the
correspondence between the partition functions of trigonometric models and the
product of the deformed Vandermonde determinant and Schur functions were
established.