Quantum integrability and exact solution of the supersymmetric U model with boundary terms

TL;DR

This paper establishes quantum integrability for a supersymmetric U model with boundary terms, solves it exactly using Bethe ansatz, and lays groundwork for analyzing finite size energy corrections.

Contribution

It introduces an exact solution for the supersymmetric U model with boundary terms using the quantum inverse scattering and Bethe ansatz methods.

Findings

Quantum integrability is proven for the model.

Exact Bethe ansatz equations are derived.

Foundation for finite size energy correction analysis is provided.

Abstract

The quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived. This provides us with a basis for computing the finite size corrections to the low lying energies in the system.