Lax pair for SU(n) Hubbard model

TL;DR

This paper derives Lax operators for the one-dimensional SU(n) Hubbard model, confirming its integrability and providing fundamental equations for the quantum inverse scattering method under various boundary conditions.

Contribution

It introduces a new Lax pair for the SU(n) Hubbard model, enhancing understanding of its integrability and boundary condition handling.

Findings

Lax operators derived for SU(n) Hubbard model

Proof of integrability under periodic boundary conditions

Fundamental equations established for quantum inverse scattering

Abstract

For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability of the model under periodic boundary condition.