Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model

TL;DR

This paper investigates an integrable Kondo impurity within a one-dimensional supersymmetric extended Hubbard model, solving it exactly using algebraic Bethe ansatz and boundary reflection algebra techniques.

Contribution

It introduces a novel integrable Kondo impurity model in a supersymmetric Hubbard framework and derives the exact Bethe ansatz solutions.

Findings

Explicit boundary K-matrices depending on impurity moments

Derivation of Bethe ansatz equations for the model

Demonstration of integrability via graded reflection algebra

Abstract

An integrable Kondo problem in the one-dimensional supersymmetric extended Hubbard model is studied by means of the boundary graded 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.