The Bound State S-matrix of the Deformed Hubbard Chain

TL;DR

This paper constructs the bound state S-matrix for a deformed Hubbard chain using q-oscillator formalism and affine algebra extension, advancing understanding of integrable models in quantum physics.

Contribution

It introduces a novel method to derive the bound state S-matrix for the deformed Hubbard chain via q-oscillator formalism and affine algebra extension.

Findings

Derived the S-matrix for scattering of bound states

Constructed atypical supersymmetric representations of Uq(su(2|2))

Utilized affine extension to facilitate the derivation

Abstract

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine the S-matrix describing the scattering of arbitrary bound states. The crucial ingredient in this derivation is the affine extension of the aforementioned algebra.