Global Gluing and G-flux

Abstract

Local models that capture the 7-brane physics of F-theory compactifications for supersymmetric GUTs are conveniently described in terms of an E_8 gauge theory in the presence of a Higgs bundle. Though the Higgs bundle data is usually determined by the local geometry and G-flux, additional gluing data must be specified whenever the Higgs bundle spectral cover is not smooth. In this paper, we argue that this additional information is determined by data of the M-theory 3-form that is not necessarily captured by the cohomology class of the G-flux. More specifically, we show that when the 3-form is specified in terms of a line bundle on a spectral divisor, which is a global extension of the Higgs bundle spectral cover, the gluing data of the local model is uniquely determined in a way that ensures agreement with Heterotic results whenever a Heterotic dual exists.

22 pages

References in corpus (6)

• T-Branes and Monodromy
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Cohomology of Line Bundles: A Computational Algorithm
• Right-handed Neutrinos in F-theory Compactifications
• A Note on G-Fluxes for F-theory Model Building
• G-flux and Spectral Divisors

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• T-branes and Matrix Models
• Orders of Vanishing and U(1) Charges in F-theory
• Charge functions for odd dimensional partitions