On covariant $\kappa-$symmetry fixing and the relation betwen the NSR string and the Type II GS superstring

TL;DR

This paper explores the relationship between the NSR string and Type II GS superstring by deriving their variable relations via superembedding equations and fixing κ-symmetry with Lorentz harmonic variables.

Contribution

It introduces a covariant κ-symmetry fixing method and establishes a direct connection between the NSR and Type II GS superstring variables.

Findings

Derived the classical relation between NSR and GS variables.

Established the connection between their actions.

Fixed κ-symmetry covariantly using Lorentz harmonic variables.

Abstract

By considering the superembedding equation for the Type II superstring we derive the classical relation between the NSR string and the Type II GS superstring Grassmannian variables. The connection between the actions of these two models is also established. Then introducing the proper twistor-like Lorentz harmonic variables we fix $\kappa-$symmetry of the GS formulation in the manifestly SO(1,9) Lorentz covariant manner and establish the relation between the gauge-fixed variables of the NSR and the Type II GS models.