Heterotic Gauge Structure of Type II K3 Fibrations

Details Heterotic Gauge Structure of Type II K3 Fibrations Heterotic Gauge Structure of Type II K3 Fibrations

1995-12-19

arxiv.org/abs/hep-th/9512138v1

Phys.Lett. B381 (1996) 427-436

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 3 eps figures

Scientific paper

10.1016/0370-2693(96)00575-8

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.

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