Free Field Representation of $osp(2|1)$ and $U_q(osp(2|1))$ and N=1 (q-)Superstring Correlation Functions

TL;DR

This paper develops free field representations for osp(2|1) and its quantum deformation, enabling explicit calculation of two-point functions in N=1 superconformal and q-superconformal models.

Contribution

It introduces a systematic free field realization scheme for osp(2|1) and its q-analog, facilitating the computation of correlation functions in related superconformal models.

Findings

Constructed free field representations for osp(2|1) and U_q(osp(2|1))

Derived two-point functions for N=1 superconformal models

Extended realization scheme to q-deformed superalgebras

Abstract

The free field realization of irreducible representations of $\os$ is constructed, by a unified and systematic scheme. The $q$-analog of this unified scheme is used to construct $q$-free field realization of irreducible representations of $\uos$. By using these realization, the two point function of $N=1$ superconformal (q-superconformal) model based on $\os$ ($\uos$) symmetry have been calculated.