N = 2 superconformal algebra in NSR string and Gepner approach to space-time supersymmetry in ten dimensions

TL;DR

This paper explores the hidden N=2 superconformal algebra in the NSR string and employs spectral flow to construct a space of physical states that realize space-time supersymmetry, offering an alternative to GSO projection.

Contribution

It introduces a novel method using spectral flow of the N=2 algebra to achieve space-time supersymmetry without GSO projection in string theory.

Findings

Spectral flow provides a new way to construct supersymmetric states.

The approach offers an alternative to traditional GSO projection.

The method enhances understanding of supersymmetry in string models.

Abstract

The fermionic NSR string possesses a hidden N = 2 superconformal algebra on the world-sheet. In this work, we show how to use an isomorphism of this algebra, the so-called spectral flow, for construction of a subspace of physical states of the string, on which space-time supersymmetry acts. This construction is an alternative to the GSO-projection in string theory.