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Mirror Symmetry in Three Dimensional Gauge Theories

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      Abstract

      We discuss non-trivial fixed points of the renormalization group with dual descriptions in \(N=4\) gauge theories in three dimensions. This new duality acts as mirror symmetry, exchanging the Higgs and Coulomb branches of the theories. Quantum effects on the Coulomb branch arise classically on the Higgs branch of the dual theory. We present examples of dual theories whose Higgs/Coulomb branch are the ALE spaces and whose Coulomb/Higgs branches are the moduli space of instantons of the corresponding \(ADE\) gauge group. In particular, we show that in three dimensions small \(E_8\) instantons in string theory are described by a local quantum field theory.

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      Gravitation, gauge theories and differential geometry

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        Author and article information

        Journal
        27 July 1996
        hep-th/9607207
        10.1016/0370-2693(96)01088-X
        Custom metadata
        IASSNS-HEP-96/80, RU-96-63
        Phys.Lett.B387:513-519,1996
        13 pages, harvmac
        hep-th

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