Compact supersymmetric solutions of the heterotic equations of motion in dimension 5

Abstract

We construct explicit compact supersymmetric solutions with non-zero field strength, non-flat instanton and constant dilaton to the heterotic string equations in dimension five. We present a quadratic condition on the curvature which is necessary and sufficient the heterotic supersymmetry and the anomaly cancellation to imply the heterotic equations of motion in dimension five. We supply compact nilmanifold in dimension 5 satisfying the heterotic supersymmetry equations with non-zero fluxes and constant dilaton which obey the three-form Bianchi identity and solves the heterotic equations of motion in dimension five.

arXiv commentLaTeX2e, 18 pages, reference and new section 5 added, to appear in Nucl. Phys. B

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• Heterotic supersymmetry, anomaly cancellation and equations of motion
• Killing-Yano tensors and some applications
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• On supersymmetric AdS${}_3$ solutions of Type II
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• The odd side of torsion geometry
• A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions