1995/12/19 by Bruce Hunt, Rolf Schimmrigk · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Conifold #Dual polyhedron #Euler characteristic #Fibered knot #Gauge (firearms) #Geometric and Algebraic Topology #Geometry and complex manifolds #Heterotic string theory #K3 surface #Limit (mathematics) #Type (biology) #hep-th
paper · pdf · doi:10.1016/0370-2693(96)00575-8
published as Phys.Lett. B381 (1996) 427-436 · 15 pages, 3 eps figures
arxiv created 1995/12/19 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that certain classes of K3 fibered Calabi-Yau manifolds derive from orbifolds of global products of K3 surfaces and particular types of curves. This observation explains why the gauge groups of the heterotic duals are determined by the structure of a single K3 surface and provides the dual heterotic picture of conifold transitions between K3 fibrations. Abstracting our construction from the special case of K3 hypersurfaces to general K3 manifolds with an appropriate automorphism, we show how to construct Calabi-Yau threefold duals for heterotic theories with arbitrary gauge groups. This generalization reveals that the previous limit on the Euler number of Calabi-Yau manifolds is an artifact of the restriction to the framework of hypersurfaces.