Abelian gauge symmetries and proton decay in global F-theory GUTs

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.086009· OSTI ID:21432442

Grimm, Thomas W ^[1]; Weigand, Timo ^[2]

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1. Bethe Center for Theoretical Physics, Nussallee 12, 53115 Bonn (Germany)
2. Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, 69120 Heidelberg (Germany)

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){sub 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 E{sub 8} and E{sub 7}xU(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.

• OSTI ID: 21432442
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 8; Other Information: DOI: 10.1103/PhysRevD.82.086009; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
NEUTRINOS
PARTICLE DECAY
PROTONS
RESOLUTION
SINGULARITY
SU-5 GROUPS
SYMMETRY
U-1 GROUPS
BARYONS
BOSONS
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
NUCLEONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED GAUGE MODELS