Algebraic Bethe ansatz for the supersymmetric $t-J$ model with reflecting boundary conditions

TL;DR

This paper applies the algebraic Bethe ansatz within the graded quantum inverse scattering method to solve the supersymmetric t-J model with reflecting boundaries, deriving eigenvalues, eigenvectors, and Bethe ansatz equations.

Contribution

It introduces a novel solution method for the supersymmetric t-J model with reflecting boundary conditions using the graded QISM framework.

Findings

Eigenvalues and eigenvectors of the model are explicitly obtained.

Bethe ansatz equations for the model are derived.

The method advances understanding of boundary effects in supersymmetric models.

Abstract

In the framework of the graded quantum inverse scattering method (QISM), we obtain the eigenvalues and eigenvectors of the supersymmetric $t-J$ model with reflecting boundary conditions in FFB background. The corresponding Bethe ansatz equations are obtained.