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arXiv · hep-th/0410055

Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines

Volker Braun·Burt A. Ovrut·Tony Pantev·Rene Reinbacher
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Abstract

A torus fibered Calabi-Yau threefold with first homotopy group Z_3 x Z_3 is constructed as a free quotient of a fiber product of two dP_9 surfaces. Calabi-Yau threefolds of this type admit Z_3 x Z_3 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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Volker Braun, Burt A. Ovrut, Tony Pantev, Rene Reinbacher. 2004-10-20. Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines. https://doi.org/10.1088/1126-6708%2F2004%2F12%2F062

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