Exact Solutions of a One-dimensional Quantum Spin Chain with SO(5)-Symmetry

TL;DR

This paper introduces an exactly solvable one-dimensional spin-3/2 Heisenberg model with SO(5) symmetry, deriving eigenvalues and Bethe ansatz equations, and identifying exotic elementary excitations in the antiferromagnetic phase.

Contribution

It presents a new integrable model with SO(5) symmetry and characterizes its spectrum and excitations using algebraic Bethe ansatz.

Findings

Eigenvalues and Bethe ansatz equations derived

Identification of neutral, heavy, and dressed spinon excitations

Model exhibits exotic elementary excitations in the antiferromagnetic region

Abstract

A new exactly solvable one-dimensional spin-3/2 Heisenberg model with SO(5)-invariance is proposed. The eigenvalues and Bethe ansatz equations of the model are obtained by using the nested algebraic Bethe ansatz approach. Several exotic elementary excitations in the antiferromagnetic region such as neutral spinon with zero spin, heavy spinon with spin-3/2 and dressed spinon with spin-1/2 are found.