AdS Strings with Torsion: Non-complex Heterotic Compactifications

TL;DR

This paper explores new supersymmetric AdS compactifications in heterotic supergravity with fluxes and gaugino condensation, classifying internal geometries and confirming moduli stabilization.

Contribution

It introduces a ten-dimensional approach to find new AdS solutions with SU(3) structure and nearly Kahler geometry, including a nonstandard embedding for the H Bianchi.

Findings

All moduli are fixed in the solutions.

The Kahler potential and superpotential correctly reproduce the AdS radius.

A nonstandard embedding solves the H Bianchi in the nearly Kahler case.

Abstract

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kahler. We argue that all moduli are fixed, and we show that the Kahler potential and superpotential proposed in the literature yield the correct AdS radius. In the nearly Kahler case, we are able to solve the H Bianchi using a nonstandard embedding. Finally, we point out subtleties in deriving the effective superpotential and understanding the heterotic supergravity in the presence of a gaugino condensate.