Form factors of the XXZ model and the affine quantum group symmetry

TL;DR

This paper derives new form factors for the XXZ model using affine quantum group symmetry, establishing relations among them and previous results, advancing the understanding of integrable quantum models.

Contribution

It introduces a novel method to generate form factors of the XXZ model via affine quantum group actions, linking all form factors through hierarchical relations.

Findings

New explicit form factor expressions satisfying Smirnov's axioms.

Relations among all form factors, expressing them as descendents.

Enhanced understanding of the algebraic structure of the XXZ model.

Abstract

We present new expressions of form factors of the XXZ model which satisfy Smirnov's three axioms. These new form factors are obtained by acting the affine quantum group $U_q (\hat{\frak s \frak l_2})$ to the known ones obtained in our previous works. We also find the relations among all the new and known form factors, i.e., all other form factors can be expressed as kind of descendents of a special one.