English

Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions

High Energy Physics - Theory 2009-09-17 v1

Abstract

We show how Higgs mechanism for non-abelian N=2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality of a further compacitification on a circle to derive N=4, d=3 dual field theories. This reduces dualities for N=4 gauge systems in three dimensions to perturbative symmetries of string theory. Moreover we find that the dual of a gauge system always exists but may or may not correspond to a lagrangian system. In particular we verify a conjecture of Intriligator and Seiberg that an ordinary gauge system is dual to compactification of Exceptional tensionless string theory down to three dimensions.

Keywords

Cite

@article{arxiv.hep-th/9705220,
  title  = {Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions},
  author = {Kentaro Hori and Hirosi Ooguri and Cumrun Vafa},
  journal= {arXiv preprint arXiv:hep-th/9705220},
  year   = {2009}
}

Comments

35 pages, latex, 15 figures