Exact solution of the simplest super-orthosymplectic invariant magnet

TL;DR

This paper provides an exact Bethe ansatz solution for the $Osp(1|2)$ invariant magnet, revealing unique phase behaviors and analyzing its ground state, excitations, and critical properties.

Contribution

It introduces the first exact Bethe ansatz solution for the $Osp(1|2)$ invariant magnet, highlighting novel phase features in even and odd sectors.

Findings

Distinct phase behavior in even and odd sectors

Characterization of ground state and low-lying excitations

Analysis of critical properties

Abstract

We present the exact solution of the $Osp(1|2)$ invariant magnet by the Bethe ansatz approach. The associated Bethe ansatz equation exhibit a new feature by presenting an explicit and distinct phase behaviour in even and odd sectors of the theory. The ground state, the low-lying excitations and the critical properties are discussed by exploiting the Bethe ansatz solution.