2004/10/20 by Volker Braun, Burt A. Ovrut, Burt A Ovrut +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG
paper · pdf · doi:10.1088/1126-6708/2004/12/062
published as JHEP0412:062,2004 · 51 pages, 13 figures; v2: references added
arxiv created 2004/10/20 · openalex publication_date 2004/12/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
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.