G-structures and Domain Walls in Heterotic Theories

Abstract

We consider heterotic string solutions based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold, preserving two supercharges. The constraints on the internal manifolds with SU(3) structure are derived. They are found to be generalized half-flat manifolds with a particular pattern of torsion classes and they include half-flat manifolds and Strominger's complex non-Kahler manifolds as special cases. We also verify that previous heterotic compactifications on half-flat mirror manifolds are based on this class of solutions.

29 pages, reference added, typos corrected

References in corpus (2)

• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• A Note on a Standard Embedding on Half-Flat Manifolds

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• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• Generalized Compactification in Heterotic String Theory