Towards the Standard Model spectrum from elliptic Calabi-Yau
Abstract
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 ; 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.
Keywords
Cite
@article{arxiv.hep-th/9903052,
title = {Towards the Standard Model spectrum from elliptic Calabi-Yau},
author = {Bjorn Andreas and Gottfried Curio and Albrecht Klemm},
journal= {arXiv preprint arXiv:hep-th/9903052},
year = {2014}
}
Comments
31 pages, 1 eps-figure, reference added, bundle parameters for dP9 model changed