English

Geometric Transitions and N=1 Quiver Theories

High Energy Physics - Theory 2007-05-23 v2 Algebraic Geometry

Abstract

We construct N=1 supersymmetric theories on worldvolumes of D5 branes wrapped around 2-cycles of threefolds which are A-D-E fibrations over a plane. We propose large N duals as geometric transitions involving blowdowns of two cycles and blowups of three-cycles. This yields exact predictions for a large class of N=1 supersymmetric gauge systems including U(N) gauge theories with two adjoint matter fields deformed by superpotential terms, which arise in A-D-E fibered geometries with non-trivial monodromies.

Keywords

Cite

@article{arxiv.hep-th/0108120,
  title  = {Geometric Transitions and N=1 Quiver Theories},
  author = {F. Cachazo and S. Katz and C. Vafa},
  journal= {arXiv preprint arXiv:hep-th/0108120},
  year   = {2007}
}

Comments

56 pages, 2 figures; ref.[10] corrected