Towards the Standard Model spectrum from elliptic Calabi-Yau

Details Towards the Standard Model spectrum from elliptic Calabi-Yau Towards the Standard Model spectrum from elliptic Calabi-Yau

1999-03-05

arxiv.org/abs/hep-th/9903052v4

Int.J.Mod.Phys. A19 (2004) 1987

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 eps-figure, reference added, bundle parameters for dP9 model changed

Scientific paper

10.1142/S0217751X04018087

We show that it is possible to construct supersymmetric three-generation models of Standard Model gauge group in the framework of non-simply-connected elliptically fibered Calabi-Yau, without section but with a bi-section. The fibrations on a cover Calabi-Yau, where the model has 6 generations of SU(5) and the bundle is given via the spectral cover description, use a different description of the elliptic fibre which leads to more than one global section. We present two examples of a possible cover Calabi-Yau with a free involution: one is a fibre product of rational elliptic surfaces $dP_9$; another example is an elliptic fibration over a Hirzebruch surface. There we give the necessary amount of chiral matter by turning on in the bundles a further parameter, related to singularities of the fibration and the branching of the spectral cover.

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