Global embeddings for branes at toric singularities

Details Global embeddings for branes at toric singularities Global embeddings for branes at toric singularities

2012-01-25

arxiv.org/abs/1201.5379v2

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, 13 figures. v2: Fixed typos, added refs, improved discussion in section 6

Scientific paper

We describe how local toric singularities, including the Toric Lego construction, can be embedded in compact Calabi-Yau manifolds. We study in detail the addition of D-branes, including non-compact flavor branes as typically used in semi-realistic model building. The global geometry provides constraints on allowable local models. As an illustration of our discussion we focus on D3 and D7-branes on (the partially resolved) (dP0)^3 singularity, its embedding in a specific Calabi-Yau manifold as a hypersurface in a toric variety, the related type IIB orientifold compactification, as well as the corresponding F-theory uplift. Our techniques generalize naturally to complete intersections, and to a large class of F-theory backgrounds with singularities.

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