Toward the M(F)--Theory Embedding of Realistic Free-Fermion Models

Abstract

We construct a Landau-Ginzburg model with the same data and symmetries as a $Z_2\times Z_2$ orbifold that corresponds to a class of realistic free-fermion models. Within the class of interest, we show that this orbifolding connects between different $Z_2\times Z_2$ orbifold models and commutes with the mirror symmetry. Our work suggests that duality symmetries previously discussed in the context of specific $M$ and $F$ theory compactifications may be extended to the special $Z_2\times Z_2$ orbifold that characterizes realistic free-fermion models.

15 pages. Standard Latex

Cited by in corpus (32)

• On Kaluza-Klein States from Large Extra Dimensions
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Classification of Heterotic Pati-Salam Models
• On the Number of Chiral Generations in Z2 X Z2 Orbifolds
• Z_2 x Z_2 Heterotic Orbifold Models of Non Factorisable Six Dimensional Toroidal Manifolds
• NAHE-based string models with SU(4) X SU(2) X U(1) SO(10) Subgroup
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Minimal Standard Heterotic String Models
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory
• Partition functions of NAHE-based free fermionic string models
• Classification of Flipped SU(5) Heterotic-String Vacua
• Beyond the Standard Embedding in M-Theory on S^1/Z_2
• String Derived Exophobic SU(6)xSU(2) GUTs
• Interpolations Among NAHE-based Supersymmetric and Nonsupersymmetric String Vacua
• Spinor-Vector Duality in Heterotic String Orbifolds
• Moduli Fixing in Realistic String Vacua
• Quasi-realistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?
• Non-Factorisable Z2 times Z2 Heterotic Orbifold Models and Yukawa Couplings
• Heterotic free fermionic and symmetric toroidal orbifold models
• Investigation of Quasi--Realistic Heterotic String Models with Reduced Higgs Spectrum
• Higgs--Matter splitting in quasi-realistic orbifold string GUTs
• Nonperturbative flipped SU(5) vacua in heterotic M-theory
• Type $\bar{0}$ Heterotic String Orbifolds
• CP violation in realistic String Models with family universal anomalous U(1)
• 2d orbifolds with exotic supersymmetry
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• Exotica and discreteness in the classification of string spectra