Heterotic supersymmetric backgrounds with compact holonomy revisited

Abstract

We simplify the classification of supersymmetric solutions with compact holonomy of the Killing spinor equations of heterotic supergravity using the field equations and the additional assumption that the 3-form flux is closed. We determine all the fractions of supersymmetry that the solutions preserve and find that there is a restriction on the number of supersymmetries which depends on the isometry group of the background. We examine the geometry of spacetime in all cases. We find that the supersymmetric solutions of heterotic supergravity are associated with a large number of geometric structures which include 7-dimensional manifolds with $G_2$ structure, 6-dimensional complex and almost complex manifolds, and 4-dimensional hyper-Kähler, Kähler and anti-self-dual Weyl manifolds.

36 pages, changes in SU(2) holonomy solutions

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• N=31 is not IIB
• N=31, D=11
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• On the absence of BPS preonic solutions in IIA and IIB supergravities
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Cited by in corpus (15)

• Classification, geometry and applications of supersymmetric backgrounds
• Heterotic Black Horizons
• Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• IIB black hole horizons with five-form flux and KT geometry
• IIB black hole horizons with five-form flux and extended supersymmetry
• Anomaly Corrected Heterotic Horizons
• Covariantly constant forms on torsionful geometries from world-sheet and spacetime perspectives
• On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds
• Instantons on conical half-flat 6-manifolds
• Spinors of real type as polyforms and the generalized Killing equation
• Supersymmetric heterotic solutions via non-SU(3) standard embedding
• Supersymmetry Enhancement of Heterotic Horizons