F-theory, SO(32) and Toric Geometry
High Energy Physics - Theory
2009-10-30 v2
Abstract
We show that the F-theory dual of the heterotic string with unbroken Spin(32)/Z_2 symmetry in eight dimensions can be described in terms of the same polyhedron that can also encode unbroken E_8\times E_8 symmetry. By considering particular compactifications with this K3 surface as a fiber, we can reproduce the recently found `record gauge group' in six dimensions and obtain a new `record gauge group' in four dimensions. Our observations relate to the toric diagram for the intersection of components of degenerate fibers and our definition of these objects, which we call `tops', is more general than an earlier definition by Candelas and Font.
Cite
@article{arxiv.hep-th/9706226,
title = {F-theory, SO(32) and Toric Geometry},
author = {Philip Candelas and Harald Skarke},
journal= {arXiv preprint arXiv:hep-th/9706226},
year = {2009}
}
Comments
11 pages, Latex2e, uses epsf, references added