Quiver Gauge Models in F-Theory on Local Tetrahedron

Abstract

We study a class of 4D $\mathcal{N}=1$ supersymmetric GUT- type models in the framework of the Beasley-Heckman-Vafa theory. We first review general results on MSSM and supersymmetric GUT; and we describe useful tools on 4D quiver gauge theories in F- theory set up. Then we study the effective supersymmetric gauge theory in the 7-brane wrapping 4-cycles in F-theory on local elliptic CY4s based on a complex tetrahedral surface $\mathcal{T}$ and its blown ups ${\mathcal{T}}_n$. The complex 2d geometries $\mathcal{T}$ and ${\mathcal{T}}_n$ are \emph{non planar} projective surfaces that extend the projective plane ${\mathbb{P}}^2$ and the del Pezzos. Using the power of toric geometry encoding the toric data of the base of the local CY4, we build a class of \emph{4D} $\mathcal{N}=1$ non minimal GUT- type models based on $\mathcal{T}$ and ${\mathcal{T}}_n$. An explicit construction is given for the SU$(5)$ GUT-type model.

arXiv comment86 pages, 20 figures

References in corpus (48)

• Phase Transitions In M-Theory And F-Theory
• A Perturbative Window into Non-Perturbative Physics
• Getting just the Standard Model at Intersecting Branes
• A D-brane alternative to unification
• The Heterotic Road to the MSSM with R parity
• Orientifolds, hypercharge embeddings and the Standard Model
• Standard Model at Intersecting D5-branes: Lowering the String Scale
• Intersecting Brane Models of Particle Physics and the Higgs Mechanism
• On Realising N=1 Super Yang-Mills in M theory
• U(1)' Symmetry Breaking in Supersymmetric E6 Models
• U-Duality and Central Charges in Various Dimensions Revisited
• Geometric Transitions and N=1 Quiver Theories
• The $G_2$-MSSM - An $M$ Theory motivated model of Particle Physics
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• Proton Decay in a Consistent Supersymmetric SU(5) GUT Model
• t' at the LHC: the physics of discovery
• Supersymmetric SO(10) GUT Models with Yukawa Unification and a Positive Mu Term
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Gauge Mediation in F-Theory GUT Models
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Studying Gaugino Mass Unification at the LHC
• Probing the Stop Sector of the MSSM with the Higgs Boson at the LHC
• Search for Large extra spatial dimensions in the dielectron and diphoton channels in $\mathbf{p}\bar{\mathbf{p}}$ collisions at $\sqrt{\mathbf{s}}=$1.96 TeV
• From F-theory GUTs to the LHC
• Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case
• RG Cascades in Hyperbolic Quiver Gauge Theories
• Cascading to the MSSM
• F-Theory, GUTs and Chiral Matter
• Entropy of Pairs of Dual Attractors in 6D/7D
• Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories
• On Black Hole Effective Potential in 6D/7D N=2 Supergravity
• BPS and non BPS 7D Black Attractors in M-Theory on K3
• Algebraic Geometry Realization of Quantum Hall Soliton
• Revisiting the Real Graviton Effects at CERN LHC within the Quantum Gravity Theory with Large Extra Dimensions
• Computing the Scalar Field Couplings in 6D Supergravity
• Charged Heavy Lepton Production In Superstring Inspired E6 Models
• The observational legacy of preon stars - probing new physics beyond the LHC
• Leptonic color models from Z_8 orbifolded AdS/CFT
• Topological String on Toric CY3s in Large Complex Structure Limit
• Invisible $Z\prime$ as a probe of extra dimensions at the CERN LHC
• Non Planar Topological 3-Vertex Formalism
• Searches for Large Extra Dimensions at the Tevatron
• Higher-dimensional operators in SUSY SO(10) GUT models
• Tetrahedron in F-theory Compactification
• Geometric Transitions, del Pezzo Surfaces and Open String Instantons
• Hyperbolic Invariance
• Hyperbolic Invariance in Type II Superstrings
• Connecting String/M Theory to the Electroweak Scale and to LHC Data

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• On F-theory Quiver Models and Kac-Moody Algebras