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.
%0 Journal Article
%1 intriligator_mirror_1996
%A Intriligator, K.
%A Seiberg, N.
%D 1996
%J hep-th/9607207
%K Mirror duality {Symmetry,Symplectic}
%T Mirror Symmetry in Three Dimensional Gauge Theories
%U http://arxiv.org/abs/hep-th/9607207
%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.
@article{intriligator_mirror_1996,
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.},
added-at = {2009-05-11T21:36:02.000+0200},
author = {Intriligator, K. and Seiberg, N.},
biburl = {https://www.bibsonomy.org/bibtex/2f1f92c38c7025a9f19cbefd02aac5de2/tbraden},
interhash = {cc365613c71d25b81dfb5d698ca318fb},
intrahash = {f1f92c38c7025a9f19cbefd02aac5de2},
journal = {hep-th/9607207},
keywords = {Mirror duality {Symmetry,Symplectic}},
month = {July},
note = {{Phys.Lett.} B387 (1996) 513-519},
timestamp = {2009-05-11T21:36:02.000+0200},
title = {Mirror Symmetry in Three Dimensional Gauge Theories},
url = {http://arxiv.org/abs/hep-th/9607207},
year = 1996
}