Self-Dual Supergravity from N=2 Strings

TL;DR

This paper constructs a heterotic N=2 string model with manifest supersymmetry, deriving the associated self-dual supergravity equations through sigma model analysis and beta function calculations.

Contribution

It introduces a novel heterotic N=2 string combining different sectors and derives the corresponding self-dual supergravity equations in superspace.

Findings

Beta functions computed perturbatively in superspace.

Superconformal algebra OPEs partially verified.

Field equations correspond to N=1 self-dual supergravity.

Abstract

A new heterotic N=2 string with manifest target space supersymmetry is constructed by combining a conventional N=2 string in the right-moving sector and a Green-Schwarz-Berkovits type string in the left-moving sector. The corresponding sigma model is then obtained by turning on background fields for the massless excitations. We compute the beta functions and we partially check the OPE's of the superconformal algebra perturbatively in $\alpha'$, all in superspace. The resulting field equations describe N=1 self-dual supergravity.