Completeness of the Six Vertex Model with Reflecting Boundary Conditions

TL;DR

This paper proves that Bethe vectors form a complete basis for the six vertex model with reflecting boundaries when inhomogeneity parameters tend to infinity in sequence.

Contribution

It establishes the completeness of Bethe vectors for the six vertex model with diagonal reflecting boundaries, extending known results to this boundary condition.

Findings

Bethe vectors form a complete basis in the specified model.

Completeness is shown via limits of inhomogeneity parameters.

The result applies to models with diagonal reflecting boundary conditions.

Abstract

In this note, we prove the completeness of Bethe vectors for the six vertex model with diagonal reflecting boundary conditions. We show that as inhomogeneity parameters get sent to infinity in a successive order the Bethe vectors give a complete basis of the space of states.