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On G-flux, M5 instantons, and U(1)s in F-theory

2011/07/08 by Joseph Marsano, Marsano, Joseph, Natalia Saulina +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.1107.1718

46 pages, 1 figure

openalex publication_date 2011/07/08 · arxiv created 2011/09/22 · arxiv updated 2011/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Local aspects of singular F-theory compactifications for SUSY GUT model-building are fairly well understood in terms of Higgs bundles and their spectral data. Several global issues remain, however, including a description of G-fluxes, which are key to constructing chiral matter and stabilizing moduli, and the global realization of U(1) symmetries that can forbid phenomenologically unfavorable couplings. In this paper, we sharpen our earlier proposal for describing G-fluxes through "spectral divisors" and introduce a distinguished "Tate divisor", which can be used to describe both G-flux and U(1)s when present. As an application, we give a general discussion of M5-instanton contributions in the presence of G-flux and exemplify this in a concrete example, where we comment on the ability of instanton induced superpotential couplings to stabilize Kahler moduli.

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