Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification

Abstract

We study gauge symmetry breaking patterns of the five-dimensional $SU(5)$ grand gauge-Higgs unification compactified on an orbifold $S^1/{\mathbb{Z}}_2$ with the Hosotani mechanism in the framework of the diagonal embedding method. We find matter contents that lead to the $SU(3)\times SU(2)\times U(1)$ gauge symmetry on the global minimum of the effective potential and also present examples of matter content for which each regular subgroup of $SU(5)$ is realized as vacuum configuration. The finite temperature phase transitions for the models with the gauge symmetry of the standard model at zero temperature and also for supersymmetric models are studied. We show in a certain model with supersymmetry that the vacuum of the standard model selected dynamically before the inflation continues to stay there up to the present.

arXiv comment20 pages, no figure, version to appear in Phys.Rev.D

References in corpus (25)

• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Unification of Higgs and Gauge Fields in Five Dimensions
• Split Multiplets, Coupling Unification and Extra Dimension
• Gauge Coupling Unification from Unified Theories in Higher Dimensions
• Dynamical symmetry breaking in Gauge-Higgs unification on orbifold
• A Complete Theory of Grand Unification in Five Dimensions
• String GUTs
• Towards A Realistic Grand Gauge-Higgs Unification
• Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification
• Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S^1
• Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings for String GUTs
• Grand Gauge-Higgs Unification
• Gauge-Higgs Grand Unification
• Asymmetric Orbifolds and Higher Level Models
• Effective theoretical approach of Gauge-Higgs unification model and its phenomenological applications
• A Classification of 3-Family Grand Unification in String Theory I. The SO(10) and E_6 Models
• Doublet-Triplet Splitting in an SU(5) Grand Unification
• E6 grand unified theory with three generations from heterotic string
• High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions
• Higgs as a Probe of Supersymmetric Grand Unification with the Hosotani Mechanism
• Heterotic E6 GUTs and Partition Functions
• On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields

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