Argyres-Seiberg duality and the Higgs branch

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.

27 pages; v2: published version

References in corpus (3)

• S-duality in N=2 supersymmetric gauge theories
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories

Cited by in corpus (52)

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• The Superconformal Index of the E_6 SCFT
• Chiral algebras of class S
• Coulomb Branch and The Moduli Space of Instantons
• Tinkertoys for the Twisted D-Series
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• N=2 supersymmetric dynamics for pedestrians
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• Comments on scaling limits of 4d N=2 theories
• Counting Exceptional Instantons
• N=1 dynamics with T_N theory
• Brane Webs and Magnetic Quivers for SQCD
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• Anomaly matching on the Higgs branch
• A slow review of the AGT correspondence
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Electroweak Symmetry Breaking in the DSSM
• Flavor symmetries and unitarity bounds in $\mathcal{N}=2$ SCFTs
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• On 6d N=(2,0) theory compactified on a Riemann surface with finite area
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• Quiver origami: discrete gauging and folding
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• T-branes, monopoles and S-duality
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• Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
• The moduli spaces of S-fold CFTs
• On 2d TQFTs whose values are holomorphic symplectic varieties
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• Short Star-Products for Filtered Quantizations, I
• Coulomb Branches of Star-Shaped Quivers
• Confinement and duality in supersymmetric gauge theories
• Semicontinuity of 4d N=2 spectrum under renormalization group flow
• Five-dimensional gauge theories and the local B-model
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• The constraining power of Coulomb Branch Geometry: lectures on Seiberg-Witten theory
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