Supersymmetry Enhancement of Heterotic Horizons

Abstract

The supersymmetry of near-horizon geometries in heterotic supergravity is considered. A necessary and sufficient condition for a solution to preserve more than the minimal N=2 supersymmetry is obtained. A supersymmetric near-horizon solution is constructed which is a U(1) fibration of AdS3 over a particular Aloff-Wallach space. It is proven that this solution preserves the conditions required for N=2 supersymmetry, but does not satisfy the necessary condition required for further supersymmetry enhancement. Hence, there exist supersymmetric near-horizon heterotic solutions preserving exactly N=2 supersymmetry.

arXiv commentAdditional background material added to Section 2, and some extra clarification added in the final paragraph of Section 3.1. The definition of the Aloff-Wallach space was added at the start of section 5. Text from Appendix C has been moved into Section 5.1. Other minor typos corrected. 20 pages, latex

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