An Extended N=1 Fermionic Supercurrent and its Associated N=2 Superconformal Algebra

TL;DR

This paper constructs an extended N=1 fermionic supercurrent in superstring theory, revealing an associated N=2 superconformal algebra and demonstrating internal N=2 invariance in theories with massless fermions.

Contribution

It introduces a new extended free fermionic construction for the internal N=1 supercurrent and links it to an emergent N=2 superconformal algebra in superstring models.

Findings

Internal N=2 superconformal invariance occurs at tree level in superstring theories with massless fermions.

Constructs explicit N=2 supercurrents for models with and without space-time supersymmetry.

Shows the connection between N=1 supercurrents and N=2 superconformal symmetry in superstring theory.

Abstract

An extended free fermionic construction of the internal N=1 world sheet supercurrent for four-dimensional superstring theory is given. We show how it can describe theories with massless fermions, and we discuss the corresponding N=2 superconformal algebra. As an intermediate step, we show that an internal N=2 global superconformal invariance occurs in any superstring theory with massless fermions at tree level. To demonstrate this fact, we give the N=2 supercurrents for a model with N=1 space-time supersymmetry and a model without space-time supersymmetry.