Algebraic Bethe ansatz for open XXX model with triangular boundary matrices

TL;DR

This paper develops an algebraic Bethe ansatz approach for the open XXX spin chain with triangular boundary matrices, deriving Bethe vectors, equations, and eigenvalues under specific boundary conditions.

Contribution

It introduces a generalized algebraic Bethe ansatz method for open XXX models with triangular boundary matrices, expanding solvable boundary conditions.

Findings

Constructed Bethe vectors for the model.

Derived Bethe equations and transfer matrix eigenvalues.

Extended algebraic Bethe ansatz to new boundary conditions.

Abstract

We consider open XXX spins chain with two general boundary matrices submitted to one constraint, which is equivalent to the possibility to put the two matrices in a triangular form. We construct Bethe vectors from a generalized algebraic Bethe ansatz. As usual, the method also provides Bethe equations and transfer matrix eigenvalues.