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The special case of super Yang-Mills theory over a spacetime of dimension 3 and with $N = 4$ supersymmetry.
The $N = 4$, $D = 3$ SYM theory can be obtained by dimensional reduction from N=2 D=4 super Yang-Mills theory (Seiberg-Witten 96)
A version of mirror symmetry acts on the $N = 4$, $D = 3$ SYM moduli space of vacua and exchanges the Coulomb branch with the Higgs branch. (Intriligator-Seiberg 96)
See also the discussion at symplectic duality.
The dimensional reduction from N=2 D=4 super Yang-Mills theory was first considered in
The mirror symmetry operation was discussed in