Free Fermion Orientifolds

Abstract

We investigate a class of orientifold models based on tensor products of 18 Ising models. Using the same search criteria as for the comparable case of Gepner model orientifolds we find that there are no three-family standard model configurations with tadpole cancellation. Even if we do not impose the latter requirement, we only find one such configuration in the special case of complex free fermions. In order to allow a comparison with other approaches we enumerate the Hodge numbers of the type-IIB theories we obtain. We provide indications that there are fermionic IIB vacua that are not $Z_2\times Z_2$ orbifolds.

18 pages + Appendix; references added

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• On orbifolds and free fermion constructions
• Exophobic Quasi-Realistic Heterotic String Vacua
• Classification of Heterotic Pati-Salam Models
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• String Derived Exophobic SU(6)xSU(2) GUTs
• SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton Decay
• Asymmetric Gepner Models (Revisited)
• (Unoriented) T-folds with few T's
• The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector
• Heterotic T-folds with a small number of neutral moduli
• Exotica and discreteness in the classification of string spectra