D=4 Pure Spinor Superstring and N=2 Strings

TL;DR

This paper investigates the compactification of the pure spinor superstring to four dimensions, revealing a conformal invariant system with N=2 superconformal symmetry in the four-dimensional sector.

Contribution

It introduces a conformal invariant description of the compactified pure spinor superstring with N=2 superconformal symmetry in four dimensions.

Findings

The compactified string maintains conformal invariance.

The four-dimensional sector exhibits non-critical N=2 superconformal symmetry.

The system is described by both four-dimensional and six-dimensional variables.

Abstract

We study the compactification of the pure spinor superstring down to four dimensions. We find that the compactified string is described by a conformal invariant system for both the four dimensional and for the compact six dimensional variables. The four dimensional sector is found to be invariant under a non-critical N=2 superconformal transformations.