2010/03/31 by J. Gutowski, G. Papadopoulos, George Papadopoulos · 26 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Engineering #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Heterotic string theory #Horizon #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Section (typography) #hep-th #math.DG
paper · pdf · doi:10.1007/jhep10(2010)084
published in Journal of High Energy Physics 2010(10) (Springer Nature) · 33 pages, latex. Reference added
openalex publication_date 2010/10/01 · arxiv created 2010/11/04 · arxiv updated 2010/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Heterotic horizons preserving 4 supersymmetries have sections which are T2 fibrations over 6-dimensional conformally balanced Hermitian manifolds. We give new examples of horizons with sections S3 X S3 X T2 and SU(3). We then examine the heterotic horizons which are T4 fibrations over a Kahler 4-dimensional manifold. We prove that the solutions depend on 6 functions which are determined by a non-linear differential system of 6 equations that include the Monge-Ampere equation. We show that this system has an explicit solution for the Kahler manifold S2 X S2. We also demonstrate that there is an associated cohomological system which has solutions on del Pezzo surfaces. We raise the question of whether for every solution of the cohomological problem there is a solution of the differential system, and so a new heterotic horizon. The horizon sections have topologies which include ((k-1) S2 X S4 # k (S3 X S3)) X T2 indicating the existence of exotic black holes. We also find an example of a horizon section which gives rise to two different near horizon geometries.