Integrable eight-state supersymmetric $U$ model with boundary terms and its Bethe ansatz solution

TL;DR

This paper introduces integrable boundary conditions for an eight-state supersymmetric U model, solves it using the Bethe ansatz, and derives the corresponding Bethe equations.

Contribution

It presents new integrable boundary terms for the supersymmetric U model and provides an exact solution via the coordinate Bethe ansatz.

Findings

Derivation of boundary terms satisfying graded reflection equations

Solution of the boundary model using coordinate Bethe ansatz

Explicit Bethe ansatz equations for the model

Abstract

A class of integrable boundary terms for the eight-state supersymmtric $U$ model are presented by solving the graded reflection equations. The boundary model is solved by using the coordinate Bethe ansatz method and the Bethe ansatz equations are obtained.