Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models

TL;DR

This paper derives explicit determinant formulas for form factors of monodromy matrix entries in l(2|1)-invariant integrable models, facilitating calculations of local operator matrix elements in supersymmetric models.

Contribution

It provides new explicit determinant representations for form factors in l(2|1) models, linking them at special Bethe parameter limits and enabling analysis of local operators.

Findings

Determinant formulas for monodromy matrix form factors

Relations among form factors at Bethe parameter limits

Application to supersymmetric t-J model

Abstract

We study integrable models solvable by the nested algebraic Bethe ansatz and described by $\mathfrak{gl}(2|1)$ or $\mathfrak{gl}(1|2)$ superalgebras. We obtain explicit determinant representations for form factors of the monodromy matrix entries. We show that all form factors are related to each other at special limits of the Bethe parameters. Our results allow one to obtain determinant formulas for form factors of local operators in the supersymmetric t-J model.