Supersymmetric compactifications of heterotic strings with fluxes and condensates

TL;DR

This paper explores supersymmetric heterotic string compactifications with fluxes and condensates, demonstrating solutions on nearly-Kaehler spaces where Bianchi identities hold, incorporating gaugino and dilatino condensates.

Contribution

It introduces a formalism using G-structures and intrinsic torsion to analyze compactifications with fluxes and condensates, extending previous models.

Findings

Supersymmetric solutions with fluxes and condensates are achievable.

Gaugino and dilatino condensates are crucial for satisfying Bianchi identities.

Nearly-Kaehler coset spaces serve as valid compactification backgrounds.

Abstract

We discuss supersymmetric compactifications of heterotic strings in the presence of H-flux and general condensates using the formalism of G-structures and intrinsic torsion. We revisit the examples based on nearly-Kaehler coset spaces and show that supersymmetric solutions, where the Bianchi identity is satisfied, can be obtained when both gaugino and dilatino condensates are present.