Elliptic Calabi-Yau Threefolds with Z3 x Z3 Wilson Lines
Volker Braun, Burt A. Ovrut, Tony Pantev, Rene Reinbacher
Abstract
A torus fibered Calabi-Yau threefold with first homotopy group Z3 x Z3 is constructed as a free quotient of a fiber product of two dP9 surfaces. Calabi-Yau threefolds of this type admit Z3 x Z3 Wilson lines. In conjunction with SU(4) holomorphic vector bundles, such vacua lead to anomaly free, three generation models of particle physics with a right handed neutrino and a U(1)B-L gauge factor, in addition to the SU(3)C x SU(2)L x U(1)Y standard model gauge group. This factor helps to naturally suppress nucleon decay. The moduli space and Dolbeault cohomology of the threefold is also discussed.
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