Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end

TL;DR

This paper derives a determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting boundary, utilizing the F-basis and Drinfeld twist to handle complex boundary conditions.

Contribution

It introduces a novel determinant representation for the partition function of the six-vertex model with non-diagonal reflecting ends, advancing analytical methods for boundary integrable models.

Findings

Determinant formula for the partition function derived

Utilizes F-basis and Drinfeld twist techniques

Applicable to models with non-diagonal boundary conditions

Abstract

With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of the partition function of the six-vertex model with a non-diagonal reflecting end under domain wall boundary condition.