Heterotic-Heterotic String Duality and Multiple K3 Fibrations

Details Heterotic-Heterotic String Duality and Multiple K3 Fibrations Heterotic-Heterotic String Duality and Multiple K3 Fibrations

1996-02-21

arxiv.org/abs/hep-th/9602118v1

Phys.Lett. B382 (1996) 81-88

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1016/0370-2693(96)00551-5

A type IIA string compactified on a Calabi-Yau manifold which admits a K3 fibration is believed to be equivalent to a heterotic string in four dimensions. We study cases where a Calabi-Yau manifold can have more than one such fibration leading to equivalences between perturbatively inequivalent heterotic strings. This allows an analysis of an example in six dimensions due to Duff, Minasian and Witten and enables us to go some way to prove a conjecture by Kachru and Vafa. The interplay between gauge groups which arise perturbatively and nonperturbatively is seen clearly in this example. As an extreme case we discuss a Calabi-Yau manifold which admits an infinite number of K3 fibrations leading to infinite set of equivalent heterotic strings.

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