Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-12-19
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.
Hunt Bruce
Schimmrigk Rolf
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