A Standard Model from the E8 x E8 Heterotic Superstring

Details A Standard Model from the E8 x E8 Heterotic Superstring A Standard Model from the E8 x E8 Heterotic Superstring

2005-02-17

arxiv.org/abs/hep-th/0502155v3

JHEP 0506:039,2005

Physics

High Energy Physics

High Energy Physics - Theory

23 pages. references and typos corrected

Scientific paper

10.1088/1126-6708/2005/06/039

In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and a small number of uncharged moduli. In this paper, the requisite vector bundles are formulated; specifically, stable, holomorphic bundles with structure group SU(N) on smooth Calabi-Yau threefolds with Z_3 x Z_3 fundamental group. A method for computing bundle cohomology is presented and used to evaluate the cohomology groups of the standard model bundles. It is shown how to determine the Z_3 x Z_3 action on these groups. Finally, using an explicit method of "doublet-triplet splitting", the low-energy particle spectrum is computed.

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