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arXiv · hep-th/9910248

Heterotic String Corrections from the Dual Type II String

Paul S. Aspinwall·M. Ronen Plesser
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Abstract

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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Paul S. Aspinwall, M. Ronen Plesser. 1999-11-19. Heterotic String Corrections from the Dual Type II String. https://doi.org/10.1088/1126-6708%2F2000%2F04%2F025

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