F-theory GUTs with U(1) Symmetries: Generalities and Survey
arXiv:1102.0290 · doi:10.1103/PhysRevD.84.066008
Abstract
We study the structure of SU(5) F-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 4D anomaly cancellation. Using the DP relations, we find a general tension between unification and the suppression of dimension 5 proton decay when one or more U(1)'s are 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.
27 pages plus 5 appendices (70 pages total) ; v2 references added
References in corpus (16)
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- T-Branes and Monodromy
- New Aspects of Heterotic--F Theory Duality
- Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
- Gauge Coupling Unification in F-theory GUT Models
- Higgs Bundles and UV Completion in F-Theory
- F-theory uplifts and GUTs
- New F-theory lifts
- Gauge Mediation in F-Theory GUT Models
- Right-handed Neutrinos in F-theory Compactifications
- Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
- Toric Construction of Global F-Theory GUTs
- A Note on G-Fluxes for F-theory Model Building
- Flipped SU(5) GUTs from E_8 Singularities in F-theory
- On F-theory E_6 GUTs
- The Potential Fate of Local Model Building
Cited by in corpus (46)
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- Models of Particle Physics from Type IIB String Theory and F-theory: A Review
- F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
- Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
- Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
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- SU(5) Tops with Multiple U(1)s in F-theory
- Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry
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- The Global Gauge Group Structure of F-theory Compactification with U(1)s
- TASI Lectures on Supergravity and String Vacua in Various Dimensions
- Three-Family Particle Physics Models from Global F-theory Compactifications
- Matter From Geometry Without Resolution
- General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
- Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs
- Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group
- Hypercharge Flux in IIB and F-theory: Anomalies and Gauge Coupling Unification
- General Prescription for Global U(1)'s in 6D SCFTs
- Wavefunctions and the Point of E8 in F-theory
- Gauge Coupling Unification in E6 F-Theory GUTs with Matter and Bulk Exotics from Flux Breaking
- Vector-Like Exotics in F-Theory and 750 GeV Diphotons
- A Global SU(5) F-theory model with Wilson line breaking
- Rational F-Theory GUTs without exotics
- G-flux and Spectral Divisors
- Toric Methods in F-theory Model Building
- Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
- Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-theory
- The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
- Tate's Algorithm for F-theory GUTs with two U(1)s
- On G-flux, M5 instantons, and U(1)s in F-theory
- A Note on Hypercharge Flux, Anomalies, and U(1)s in F-theory GUTs
- Analytical two-loop soft mass terms of sfermions in Extended GMSB models
- Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
- F-theory and the Witten Index
- A new CY elliptic fibration and tadpole cancellation
- Aspects of F-Theory GUTs
- On the Standard Model Group in F-theory
- On and F-Theory GUTs
- F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
- Yukawa Hierarchies in Global F-theory Models
- Orders of Vanishing and U(1) Charges in F-theory
- Symmetry Breaking Bulk Effects in Local D-brane Models
- A dessin on the base: a description of mutually non-local 7-branes without using branch cuts