Boundary Kondo impurities in the generalized supersymmetric t-J model

TL;DR

This paper investigates boundary Kondo impurities in the supersymmetric t-J model, constructing higher spin K-matrices and deriving Bethe ansatz equations to analyze boundary effects in integrable systems.

Contribution

It introduces higher spin boundary K-matrices for the supersymmetric t-J model and derives the associated Bethe ansatz equations using the Quantum Inverse Scattering Method.

Findings

Constructed higher spin K-matrices for the supersymmetric t-J model.

Derived Bethe ansatz equations for boundary Kondo impurities.

Provided a framework for analyzing boundary effects in supersymmetric integrable models.

Abstract

We study the generalized supersymmetric t-J model with Kondo impurities in the boundaries. We first construct the higher spin operator K-matrix for the XXZ Heisenberg chain. Setting the boundary parameter to be a special value, we find a higher spin reflecting K-matrix for the supersymmetric t-J model. By using the Quantum Inverse Scattering Method, we obtain the eigenvalue and the corresponding Bethe ansatz equations.