English

Argyres-Seiberg duality and the Higgs branch

High Energy Physics - Theory 2010-01-15 v2 Differential Geometry

Abstract

We demonstrate the agreement between the Higgs branches of two N=2 theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E_6 flavor symmetry. In mathematical terms, we demonstrate the equivalence between a hyperkaehler quotient of a linear space and another hyperkaehler quotient involving the minimal nilpotent orbit of E_6, modulo the identification of the twistor lines.

Keywords

Cite

@article{arxiv.0810.4541,
  title  = {Argyres-Seiberg duality and the Higgs branch},
  author = {Davide Gaiotto and Andrew Neitzke and Yuji Tachikawa},
  journal= {arXiv preprint arXiv:0810.4541},
  year   = {2010}
}

Comments

27 pages; v2: published version

R2 v1 2026-06-21T11:34:44.303Z