# Form factors of local operators in supersymmetric quantum integrable models

## TL;DR

This paper develops a method to compute form factors of local operators in supersymmetric quantum integrable models using the nested algebraic Bethe ansatz, providing determinant formulas without requiring explicit inverse scattering solutions.

## Contribution

It introduces a universal approach to express form factors in supersymmetric models via the RTT-algebra, independent of specific representations.

## Key findings

- Derived determinant representations for form factors
- Applied nested algebraic Bethe ansatz to supersymmetric models
- Provided a representation-independent method

## Abstract

We apply the nested algebraic Bethe ansatz to the models with gl(2|1) and gl}(1|2) supersymmetry. We show that form factors of local operators in these models can be expressed in terms of the universal form factors. Our derivation is based on the use of the RTT-algebra only. It does not refer to any specific representation of this algebra. We obtain thus determinant representations for form factors of local operators in the cases where an explicit solution of the quantum inverse scattering problem is not known.