Argyres-Seiberg 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 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 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:
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Communications in Mathematical Physics
- Pub Date:
- March 2010
- DOI:
- 10.1007/s00220-009-0938-6
- arXiv:
- arXiv:0810.4541
- Bibcode:
- 2010CMaPh.294..389G
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Differential Geometry
- E-Print:
- 27 pages