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

## Abstract

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.

- Authors:

- Bethe Center for Theoretical Physics, Nussallee 12, 53115 Bonn (Germany)
- (United States)
- Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, 69120 Heidelberg (Germany)

- Publication Date:

- OSTI Identifier:
- 21432442

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 82; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.82.086009; (c) 2010 American Institute of Physics

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 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

### Citation Formats

```
Grimm, Thomas W., Kavli Institute for Theoretical Physics, Santa Barbara, California 93106, Weigand, Timo, and Kavli Institute for Theoretical Physics, Santa Barbara, California 93106.
```*Abelian gauge symmetries and proton decay in global F-theory GUTs*. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.086009.

```
Grimm, Thomas W., Kavli Institute for Theoretical Physics, Santa Barbara, California 93106, Weigand, Timo, & Kavli Institute for Theoretical Physics, Santa Barbara, California 93106.
```*Abelian gauge symmetries and proton decay in global F-theory GUTs*. United States. doi:10.1103/PHYSREVD.82.086009.

```
Grimm, Thomas W., Kavli Institute for Theoretical Physics, Santa Barbara, California 93106, Weigand, Timo, and Kavli Institute for Theoretical Physics, Santa Barbara, California 93106. Fri .
"Abelian gauge symmetries and proton decay in global F-theory GUTs". United States. doi:10.1103/PHYSREVD.82.086009.
```

```
@article{osti_21432442,
```

title = {Abelian gauge symmetries and proton decay in global F-theory GUTs},

author = {Grimm, Thomas W. and Kavli Institute for Theoretical Physics, Santa Barbara, California 93106 and Weigand, Timo and Kavli Institute for Theoretical Physics, Santa Barbara, California 93106},

abstractNote = {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.},

doi = {10.1103/PHYSREVD.82.086009},

journal = {Physical Review. D, Particles Fields},

number = 8,

volume = 82,

place = {United States},

year = {Fri Oct 15 00:00:00 EDT 2010},

month = {Fri Oct 15 00:00:00 EDT 2010}

}