Heterotic String Corrections from the Dual Type II String

Details Heterotic String Corrections from the Dual Type II String Heterotic String Corrections from the Dual Type II String

1999-10-29

arxiv.org/abs/hep-th/9910248v2

JHEP 0004:025,2000

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures, refs added

Scientific paper

10.1088/1126-6708/2000/04/025

We introduce a method of using the a dual type IIA string to compute alpha'-corrections to the moduli space of heterotic string compactifications. In particular we study the hypermultiplet moduli space of a heterotic string on a K3 surface. One application of this machinery shows that type IIB strings compactified on a Calabi-Yau space suffer from worldsheet instantons, spacetime instantons and, in addition, "mixed" instantons which in a sense are both worldsheet and spacetime. As another application we look at the hyperkaehler limit of the moduli space in which the K3 surface becomes an ALE space. This is a variant of the "geometric engineering" method used for vector multiplet moduli space and should be applicable to a wide range of examples. In particular we reproduce Sen and Witten's result for the heterotic string on an A1 singularity and a trivial bundle and generalize this to a collection of E8 point-like instantons on an ALE space.

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