F-theory GUTs with U(1) symmetries: Generalities and survey
- 1. Institute for Particle Physics Phenomenology, University of Durham, Durham DH1 3LE (United Kingdom)
- 2. Enrico Fermi Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States)
- 3. Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5 (Canada)
- 4. Department of Mathematics, King's College, University of London, The Strand, WC2R 2LS, London (United Kingdom)
Description
We study the structure of SU(5) F-theory grand unified theory (GUT) models that engineer additional U(1) symmetries. These are highly constrained by a set of relations observed by Dudas and Palti (DP) that originate from the physics of four-dimensional anomaly cancellation. Using the DP relations, we describe a general tension between unification and the suppression of dimension 5 proton decay when one or more U(1)'s are Peccei-Quinn (PQ) symmetries and hypercharge flux is used to break the SU(5) GUT group. We then specialize to spectral cover models, whose global completions in F theory we know how to construct. In that setting, we provide a technical derivation of the DP relations, construct spectral covers that yield all possible solutions to them, and provide a complete survey of spectral cover models for SU(5) GUTs that exhibit two U(1) symmetries.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.84.066008;
- arXiv
- arXiv:1102.0290v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 84
- Journal Issue
- 6
- Journal Page Range
- p. 066008-066008.38
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 43083543
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- FOUR-DIMENSIONAL CALCULATIONS; GRAND UNIFIED THEORY; HYPERCHARGE; MATHEMATICAL SOLUTIONS; PROTONS; SIMULATION; SU-5 GROUPS; SYMMETRY; U-1 GROUPS
- Descriptors DEC
- BARYONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; NUCLEONS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; U GROUPS; UNIFIED GAUGE MODELS
Optional Information
- Notes
- (c) 2011 American Institute of Physics