Heterotic horizons and AdS backgrounds that preserve 6 supersymmetries
This paper utilizes topological arguments to prove that heterotic horizons preserving six supersymmetries must have spatial sections diffeomorphic to , while simultaneously demonstrating the non-existence of such heterotic AdS solutions under compactness assumptions, and further re-examines the conditions for four-supersymmetry backgrounds in light of recent Calabi-Yau manifold classifications.