Elliptic Calabi-Yau Threefolds withZ3×Z3Wilson Lines | Zendy

Volker Braun | Zendy; Burt A. Ovrut | Zendy; Tony Pantev | Zendy; René Reinbacher | Zendy

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Elliptic Calabi-Yau Threefolds withZ₃×Z₃Wilson Lines

Author(s) -

Volker Braun,

Burt A. Ovrut,

Tony Pantev,

René Reinbacher

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/12/062

Subject(s) - fibered knot , moduli space , calabi–yau manifold , gauge group , holomorphic function , cohomology , physics , anomaly (physics) , vector bundle , type (biology) , pure mathematics , fibration , quotient , group (periodic table) , mathematical physics , mathematics , particle physics , gauge theory , homotopy , quantum mechanics , ecology , biology

A torus fibered Calabi-Yau threefold with first homotopy group Z_3 x Z_3 isconstructed 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 conjunctionwith SU(4) holomorphic vector bundles, such vacua lead to anomaly free, threegeneration models of particle physics with a right handed neutrino and aU(1)_{B-L} gauge factor, in addition to the SU(3)_C x SU(2)_L x U(1)_Y standardmodel gauge group. This factor helps to naturally suppress nucleon decay. Themoduli space and Dolbeault cohomology of the threefold is also discussed.Comment: 51 pages, 13 figures; v2: references adde

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