Point-like Instantons and the Spin(32)/Z2 Heterotic String

Details Point-like Instantons and the Spin(32)/Z2 Heterotic String Point-like Instantons and the Spin(32)/Z2 Heterotic String

1996-12-10

arxiv.org/abs/hep-th/9612108v2

Nucl.Phys.B496:149-176,1997

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX2e+AMSTeX, one separate PS figure, many embedded figures, minor fixes

Scientific paper

10.1016/S0550-3213(97)00232-0

We consider heterotic string theories compactified on a K3 surface which lead to an unbroken perturbative gauge group of Spin(32)/Z2. All solutions obtained are combinations of two types of point-like instanton --- one ``simple type'' as discovered by Witten and a new type associated to the ``generalized second Stiefel-Whitney class'' as introduced by Berkooz et al. The new type of instanton is associated to an enhancement of the gauge symmetry by Sp(4) and the addition of a massless tensor supermultiplet. It is shown that if four simple instantons coalesce at an orbifold point in the K3 surface then a massless tensor field appears which may be used to interpolate between the two types of instanton. By allowing various combinations of point-like instantons to coalesce, large gauge groups (e.g., rank 128) with many massless tensor supermultiplets result. The analysis is done in terms of F-theory.

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