Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model

TL;DR

This paper develops an algebraic Bethe ansatz solution for an integrable Kondo impurity problem within the one-dimensional supersymmetric t-J model, providing explicit Bethe equations and boundary conditions.

Contribution

It introduces a novel algebraic Bethe ansatz approach for supersymmetric Kondo impurities using boundary reflection algebras and explicit K-matrix constructions.

Findings

Derived Bethe ansatz equations for the model

Constructed boundary K-matrices for impurity interactions

Solved the integrable Kondo impurity problem

Abstract

An integrable Kondo problem in the one-dimensional supersymmetric t-J model is studied by means of the boundary supersymmetric quantum inverse scattering method. The boundary $K$ matrices depending on the local moments of the impurities are presented as a nontrivial realization of the graded reflection equation algebras in a two-dimensional impurity Hilbert space. Further,the model is solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.