Mirror Symmetry in Three Dimensional Gauge Theories

Details Mirror Symmetry in Three Dimensional Gauge Theories Mirror Symmetry in Three Dimensional Gauge Theories

1996-07-28

arxiv.org/abs/hep-th/9607207v1

Phys.Lett.B387:513-519,1996

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, harvmac

Scientific paper

10.1016/0370-2693(96)01088-X

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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