Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

TL;DR

This paper classifies nine integrable boundary conditions for an eight-state supersymmetric fermion model, solving each case with the coordinate Bethe ansatz and providing the corresponding Bethe equations.

Contribution

It introduces nine new classes of integrable boundary conditions for a complex fermionic model, expanding the understanding of boundary integrability in supersymmetric systems.

Findings

Nine classes of boundary conditions identified and classified.

Explicit Bethe ansatz equations derived for all cases.

Solutions demonstrate the integrability of these boundary conditions.

Abstract

Nine classes of integrable boundary conditions for the eight-state supersymmetric model of strongly correlated fermions are presented. The boundary systems are solved by using the coordinate Bethe ansatz method and the Bethe ansatz equations for all nine cases are given.