Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end

Abstract

The trigonometric six-vertex model with domain wall boundary conditions and one partially reflecting end on a lattice of size $2n\times m$, $m\le n$, is considered. The partition function is computed using the Izergin-Korepin method, generalizing the result of Foda and Zarembo from the rational to the trigonometric case. Thereafter we specify the parameters in Kuperberg's way to get a formula for the number of states as a determinant of Wilson polynomials. We relate this to a type of ASM-like matrices.

31 pages

References in corpus (2)

• Partial domain wall partition functions
• A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain

Cited by in corpus (1)

• Modified rational six vertex model on the rectangular lattice