English

On the Ubiquity of K3 Fibrations in String Duality

High Energy Physics - Theory 2019-08-15 v2

Abstract

We consider the general case of N=2 dual pairs of type IIA/heterotic string theories in four dimensions. We show that if the type IIA string in this pair can be viewed as having been compactified on a Calabi-Yau manifold in the usual way then this manifold must be of the form of a K3 fibration. We also see how the bound on the rank of the gauge group of the perturbative heterotic string has a natural interpretation on the type IIA side.

Keywords

Cite

@article{arxiv.hep-th/9510234,
  title  = {On the Ubiquity of K3 Fibrations in String Duality},
  author = {Paul S. Aspinwall and Jan Louis},
  journal= {arXiv preprint arXiv:hep-th/9510234},
  year   = {2019}
}

Comments

LateX, 16 pages, 1 figure, minor corrections, reference added