F-theory, SO(32) and Toric Geometry

Details F-theory, SO(32) and Toric Geometry F-theory, SO(32) and Toric Geometry

1997-06-30

arxiv.org/abs/hep-th/9706226v2

Phys.Lett. B413 (1997) 63-69

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex2e, uses epsf, references added

Scientific paper

10.1016/S0370-2693(97)01047-2

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.

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