Covariant $\kappa-$Symmetry Gauge Fixing and the Classical Relation Between Physical Variables of the NSR String and the Type II GS Superstring

TL;DR

This paper derives a covariant relation between the gauge-fixed variables of the NSR string and the Type II GS superstring by analyzing superembedding equations and fixing κ-symmetry with Lorentz harmonic variables.

Contribution

It provides a covariant derivation of the classical relation between NSR and GS superstring variables using superembedding and Lorentz harmonic techniques.

Findings

Derived the relation between NSR and GS variables covariantly.

Fixed κ-symmetry in a Lorentz covariant manner.

Established a classical correspondence between different superstring formulations.

Abstract

The main goal of this paper is the manifestly covariant derivation of the classical relation between the gauge-fixed Grassmann variables of the NSR string and the Type II GS superstring. To this end we analyze the superembedding equation for the Type II superstring to derive the relation between the original variables of the NSR string and the Type II GS superstring and, further, by means of Lorentz harmonic variables we fix $\kappa-$symmetry of the GS superstring in the manifestly Lorentz covariant way.