Point-like Instantons on K3 Orbifolds

Abstract

The map between the moduli space of F-theory (or type II string) compactifications and heterotic string compactifications can be considerably simplified by using "stable degenerations". We discuss how this method applies to both the E8 x E8 and the Spin(32)/Z2 heterotic string. As a simple application of this method we derive some basic properties of the nonperturbative physics of collections of E8 or Spin(32)/Z2 point-like instantons sitting at A-D-E singularities on a K3 surface.

35 pages, many embedded figures. Caveat added concerning result 4

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• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Vector Bundles And F Theory
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• F-theory and the Gimon-Polchinski Orientifold
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