Supersymmetric AdS_3 solutions in Heterotic Supergravity

Abstract

We analyze the AdS_3 x M_7 type supersymmetric solutions, including non-trivial fluxes, of the Killing spinor equations in the heterotic supergravity. We classify these solutions by their G-structures and intrinsic torsions, for the cases that the number of seven-dimensional Killing spinors N are equal to 1,2,3 and 4. We find that the solutions cannot have non-trivial warp factor and the seven dimensional manifold M_7 is charactrized by G_2(SU(3))-structures for N=1 (2) case and SU(2)-structure for N=3 and 4 cases. They are further classified by their non-trivial intrinsic torsions. It is shown, including the leading order α'-corrections, that if we impose the Bianchi identities, the integrability conditions of the Killing spinor equations imply all the field equations.

32 pages

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Cited by in corpus (12)

• Heterotic supersymmetry, anomaly cancellation and equations of motion
• On Cosmological Constants from alpha'-Corrections
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• Double quiver gauge theory and nearly Kahler flux compactifications
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Instantons, five-branes and fractional strings
• AdS backgrounds from black hole horizons
• The heterotic G${}_2$ system with reducible characteristic holonomy
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Families of solutions of the heterotic G${}_2$ system