Supersymmetry Enhancement of Heterotic Horizons
D. Farotti, J. Gutowski
TL;DR
This paper investigates the conditions under which heterotic supergravity near-horizon geometries preserve supersymmetry, constructing a specific solution that preserves exactly N=2 supersymmetry and establishing criteria for supersymmetry enhancement.
Contribution
It provides a necessary and sufficient condition for supersymmetry enhancement in heterotic near-horizon geometries and constructs an explicit N=2 supersymmetric solution.
Findings
Constructed a U(1) fibration of AdS3 over Aloff-Wallach space
Proved the solution preserves N=2 supersymmetry
Established conditions for supersymmetry enhancement
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.
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