2010/06/01 by Thomas W. Grimm, Timo Weigand
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #F-theory #Gauge theory #Geometry #Global symmetry #Gravitational singularity #Higgs boson #Homogeneous space #Mathematical physics #Mathematics #Neutrino #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton decay #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spontaneous symmetry breaking #String theory #Symmetry breaking #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.82.086009
published as Phys.Rev.D82:086009,2010 · 32 pages
arxiv created 2010/06/01 · openalex publication_date 2010/10/12 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The existence of Abelian gauge symmetries in four-dimensional F-theory compactifications depends on the global geometry of the internal Calabi-Yau four-fold and has important phenomenological consequences. We study conceptual and phenomenological aspects of such U(1) symmetries along the Coulomb and the Higgs branch. As one application we examine Abelian gauge factors arising after a certain global restriction of the Tate model that goes beyond a local spectral cover analysis. In SU(5) grand unified theory (GUT) models this mechanism enforces a global U(1)X symmetry that prevents dimension-4 proton decay and allows for an identification of candidate right-handed neutrinos. We invoke a detailed account of the singularities of Calabi-Yau four-folds and their mirror duals starting from an underlying E8 and E7\ifmmode×\else\texttimes\fiU(1) enhanced Tate model. The global resolutions and deformations of these singularities can be used as the appropriate framework to analyze F-theory GUT models.