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.
Keywords
Cite
@article{arxiv.2107.06743,
title = {Supersymmetry Enhancement of Heterotic Horizons},
author = {D. Farotti and J. Gutowski},
journal= {arXiv preprint arXiv:2107.06743},
year = {2022}
}
Comments
Additional 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