Kahler Cone Substructure

Abstract

To define a consistent perturbative geometric heterotic compactification the bundle is required to satisfy a subtle constraint known as ``stability,'' which depends upon the Kahler form. This dependence upon the Kahler form is highly nontrivial---the Kahler cone splits into subcones, with a distinct moduli space of bundles in each subcone---and has long been overlooked by physicists. In this article we describe this behavior and its physical manifestation.

22 pages (published version)

References in corpus (2)

• On complex surfaces diffeomorphic to rational surfaces
• Flips of moduli spaces and transition formulas for Donaldson polynomial invariants of rational surfaces

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