English

Global embeddings for branes at toric singularities

High Energy Physics - Theory 2015-06-03 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1201.5379,
  title  = {Global embeddings for branes at toric singularities},
  author = {Vijay Balasubramanian and Per Berglund and Volker Braun and Iñaki García-Etxebarria},
  journal= {arXiv preprint arXiv:1201.5379},
  year   = {2015}
}

Comments

52 pages, 13 figures. v2: Fixed typos, added refs, improved discussion in section 6. v3: More typos fixed

R2 v1 2026-06-21T20:09:46.427Z