ArgyresSeiberg Duality and the Higgs Branch
Abstract
We demonstrate the agreement between the Higgs branches of two {mathcal{N}=2} theories proposed by Argyres and Seiberg to be Sdual, 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 hyperkähler quotient of a linear space and another hyperkähler quotient involving the minimal nilpotent orbit of E _{6}, modulo the identification of the twistor lines.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 March 2010
 DOI:
 10.1007/s0022000909386
 arXiv:
 arXiv:0810.4541
 Bibcode:
 2010CMaPh.294..389G
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Differential Geometry
 EPrint:
 27 pages