Nonperturbative flipped SU(5) vacua in heterotic M-theory

Abstract

The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) representation. Such an embedding is afforded by the realistic free fermionic heterotic-string models. In this paper we advance the study of these string models toward a non-perturbative analysis by generalizing the work of Donagi, Pantev, Ovrut and Waldram from the case of G=SU(2n+1) to G=SU(2n) stable holomorphic vector bundles on elliptically fibered Calabi-Yau manifolds with fundamental group Z2. We demonstrate existence of G=SU(4) solutions with three generations and SO(10) observable gauge group over Hirzebruch base surface, whereas we show that certain classes of del Pezzo base surface do not admit such solutions. The SO(10) symmetry is broken to SU(5)XU(1) by Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed.

23 pages. Standard LaTeX. Version to appear in NPB

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• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• On the Number of Chiral Generations in Z2 X Z2 Orbifolds
• SU(5)_{flip} x SU(5)' from Z_{12-I}
• On the Possibility of Optical Unification in Heterotic Strings
• Quasi-Supersymmetric $G^3$ Unification from Intersecting D6-Branes on Type IIA Orientifolds
• Type $\bar{0}$ Heterotic String Orbifolds
• Weak Mixing Angle and Proton Stability in F-theory GUT
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Yukawa couplings in SO(10) heterotic M-theory vacua
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• IIA string instanton corrections to the four-fermion correlator in the intersection of Del Pezzo surfaces