Modified rational six vertex model on the rectangular lattice

TL;DR

This paper introduces a modified rational six vertex model on a rectangular lattice with generalized boundary conditions, deriving its partition function as a modified Izergin determinant using advanced algebraic methods.

Contribution

It presents a new variant of the six vertex model with generalized boundary conditions and provides an explicit determinant formula for its partition function.

Findings

Partition function expressed as a modified Izergin determinant

Extension of boundary conditions beyond standard domain wall

Application of quantum inverse scattering method

Abstract

We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determinant. The proofs are based on the quantum inverse scattering method and its representation theory together with elementary linear algebra.