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Geometrically engineering the standard model: Locally unfolding three families out of
Phys. Rev. D 76, 046004 – Published 9 August, 2007
DOI: https://doi.org/10.1103/PhysRevD.76.046004
Abstract
This paper extends and builds upon the results of [J. L. Bourjaily, arXiv:0704.0444.], in which we described how to use the tools of geometrical engineering to deform geometrically engineered grand unified models into ones with lower symmetry. This top-down unfolding has the advantage that the relative positions of singularities giving rise to the many “low-energy” matter fields are related by only a few parameters which deform the geometry of the unified model. And because the relative positions of singularities are necessary to compute the superpotential, for example, this is a framework in which the arbitrariness of geometrically engineered models can be greatly reduced. In [J. L. Bourjaily, arXiv:0704.0444.], this picture was made concrete for the case of deforming the representations of an model into their standard model content. In this paper we continue that discussion to show how a geometrically engineered of can be unfolded into the standard model, and how the three families of the standard model uniquely emerge from the unfolding of a single, isolated singularity.
Article Text
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