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

2008/11/30 by Marisa Fernández, Marisa Fernandez, Stefan Ivanov +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th #math-ph #math.DG #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2009.06.002

published as Nucl.Phys.B820:483-502,2009 · LaTeX2e, 18 pages, reference and new section 5 added, to appear in Nucl. Phys. B

arxiv created 2009/06/09 · openalex publication_date 2009/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On types of non-integrable geometries
• Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
• A no-go theorem for string warped compactifications
• Solution of heterotic Killing spinor equations and special geometry
• Calibrated geometries