D-branes at Singularities, Compactification, and Hypercharge

Details D-branes at Singularities, Compactification, and Hypercharge D-branes at Singularities, Compactification, and Hypercharge

2006-10-02

arxiv.org/abs/hep-th/0610007v2

JHEP 0701:107,2007

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 9 figures. Minor corrections

Scientific paper

10.1088/1126-6708/2007/01/107

We report on progress towards the construction of SM-like gauge theories on the world-volume of D-branes at a Calabi-Yau singularity. In particular, we work out the topological conditions on the embedding of the singularity inside a compact CY threefold, that select hypercharge as the only light U(1) gauge factor. We apply this insight to the proposed open string realization of the SM of hep-th/0508089, based on a D3-brane at a dP_8 singularity, and present a geometric construction of a compact Calabi-Yau threefold with all the required topological properties. We comment on the relevance of D-instantons to the breaking of global U(1) symmetries.

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