Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold

Abstract

Motivated by orbifold grand unified theories, we construct a class of three-family Pati-Salam models in a Z6 abelian symmetric orbifold with two discrete Wilson lines. These models have marked differences from previously-constructed three-family models in prime-order orbifolds. In the limit where one of the six compactified dimensions (which lies in a Z2 sub-orbifold) is large compared to the string length scale, our models reproduce the supersymmetry and gauge symmetry breaking pattern of 5d orbifold grand unified theories on an S1/Z2 orbicircle. We find a horizontal 2+1 splitting in the chiral matter spectra -- 2 families of matter are localized on the Z2 orbifold fixed points, and 1 family propagates in the 5d bulk -- and identify them as the first-two and third families. Remarkably, the first two families enjoy a non-abelian dihedral D4 family symmetry, due to the geometric setup of the compactified space. In all our models there are always some color triplets, i.e. (6,1,1) representations of the Pati-Salam group, survive orbifold projections. They could be utilized to spontaneously break the Pati-Salam symmetry to that of the Standard Model. One model, with a 5d E6 symmetry, may give rise to interesting low energy phenomenology. We study gauge coupling unification, allowed Yukawa couplings and some of their phenomenological consequences. The E6 model has a renormalizable Yukawa coupling only for the third family. It predicts a gauge-Yukawa unification relation at the 5d compactification scale, and is capable of generating reasonable quark/lepton masses and mixings. Potential problems are also addressed, they may point to the direction for refining our models.

arXiv comment58 pages, 5 figures, 4 tables, revtex4 with ams fonts. Version to appear in NPB

References in corpus (68)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Strong Coupling Expansion Of Calabi-Yau Compactification
• Target Space Duality in String Theory
• Extra Spacetime Dimensions and Unification
• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• Model-Independent Analysis of Soft Terms in Effective Supergravity and in String Theory
• Towards a Theory of Soft Terms for the Supersymmetric Standard Model
• Open Strings
• Gauge Unification in Higher Dimensions
• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• Algebras, BPS States, and Strings
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• Not Even Decoupling Can Save Minimal Supersymmetric SU(5)
• A Minimal S^1/(Z_2 x Z_2') Orbifold GUT
• Couplings and Scales in Strongly Coupled Heterotic String Theory
• String Theory and the Path to Unification: A Review of Recent Developments
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Perturbative Couplings of Vector Multiplets in $N=2$ Heterotic String Vacua
• On Gauge Couplings in String Theory
• Gauge Unification In Six Dimensions
• Intersecting Brane Worlds -- A Path to the Standard Model ?
• Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
• String derived MSSM and M-theory Unification
• SO(10) Unified Theories in Six Dimensions
• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• SO(10) grand unification in five dimensions: Proton decay and the mu problem
• Chiral four-dimensional string compactifications with intersecting D-branes
• Threshold Corrections to Gauge Couplings in Orbifold Compactifications
• Constructing 5d orbifold grand unified theories from heterotic strings
• String-Unification, Universal One-Loop Corrections and Strongly Coupled Heterotic String Theory
• Some issues in soft SUSY-breaking terms from dilaton/moduli sectors
• A Complete Theory of Grand Unification in Five Dimensions
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• Classification of Flat Directions in Perturbative Heterotic Superstring Vacua with Anomalous U(1)
• Nucleon Decay Matrix Elements from Lattice QCD
• Models of Scherk-Schwarz Symmetry Breaking in 5D: Classification and Calculability
• Z_2\times Z_2$ orbifold compactification as the origin of realistic free fermionic models
• String GUTs
• Nucleon Decay in a Realistic SO(10) SUSY GUT
• Moduli Dependence of One--Loop Gauge Couplings in (0,2) Compactifications
• Complete structure of Z_n Yukawa couplings
• Unification in 5D SO(10)
• Wilson Lines and Symmetry Breaking on Orbifolds
• Three Generations in the Fermionic Construction
• "Anomalous" U(1) Symmetry in Orbifold String Models
• Moduli Spaces and Target Space Duality Symmetries in $(0,2)Z_N$ Orbifold Theories with Continuous Wilson Lines
• String Unification and Threshold Corrections
• Spectra in Standard-like Z_3 Orbifold Models
• Three-Family $SO(10)$ Grand Unification in String Theory
• A Minimal Superstring Standard Model I: Flat Directions
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra
• Threshhold Corrections in $K3\times T2$ Heterotic String Compactifications
• Heterotic Yukawa couplings and continuous Wilson lines
• Yukawa Textures in String Unified Models With SU(4)xO(4) Symmetry
• Fitting the Quark and Lepton Masses in String Theories
• String Threshold corrections from Field Theory
• $Z_3$ orbifold construction of $SU(3{)}^3$ GUT with ${\sin }^2{\theta }_W^0=3/8$
• Building GUTs from strings
• Selection Rules for Nonrenormalizable Couplings in Superstring Theories
• Asymmetric Orbifolds and Grand Unification
• Modular Symmetries in $Z_N$ Orbifold Compactified String Theories with Wilson lines
• Wilson lines corrections to gauge couplings from a field theory approach
• Nucleon Decay Matrix Elements for Domain-Wall Fermions
• Modular Groups for Twisted Narain Models
• Gauge Coupling Unification and the Top Mass in String Models with $SU(4)\times O(4)$ Symmetry
• Orbifold Compactifications with continuous Wilson lines

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