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Argyres-Seiberg Duality and the Higgs Branch

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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.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, 08540, USA

    Davide Gaiotto & Yuji Tachikawa

  2. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, USA

    Andrew Neitzke

Authors
  1. Davide Gaiotto
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  2. Andrew Neitzke
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  3. Yuji Tachikawa
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Correspondence to Yuji Tachikawa.

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Communicated by A. Kapustin

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Gaiotto, D., Neitzke, A. & Tachikawa, Y. Argyres-Seiberg Duality and the Higgs Branch. Commun. Math. Phys. 294, 389–410 (2010). https://doi.org/10.1007/s00220-009-0938-6

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  • DOI: https://doi.org/10.1007/s00220-009-0938-6

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