An SU(1|1)-Invariant S-Matrix with Dynamic Representations

TL;DR

This paper investigates an SU(1|1)-invariant S-matrix in a long-range spin chain with dynamic representations, revealing unique properties related to symmetry and integrability in gauge theory models.

Contribution

It introduces and analyzes a novel SU(1|1)-invariant S-matrix with dynamic representations in a long-range spin chain context.

Findings

The S-matrix exhibits invariance under SU(1|1) symmetry.

The model reveals unique integrability properties.

Connections to large-N conformal gauge theories are established.

Abstract

The spin chains originating from large-N conformal gauge theories are of a special kind: The Hamiltonian is not invariant under the symmetry algebra, it is rather a part of it. This leads to interesting properties within the asymptotic Bethe ansatz. Here we study an S-matrix with u(1|1) symmetry which arises in a long-range spin chain with fundamental spins of su(2|1).