# Contents

## Idea

The special case of super Yang-Mills theory over a spacetime of dimension 3 and with $N = 4$ supersymmetry.

## Properties

### Reduction from $N = 2$, $D = 4$

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)

### Mirror symmetry

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)

See also the discussion at symplectic duality.

## References

The dimensional reduction from N=2 D=4 super Yang-Mills theory was first considered in

The mirror symmetry operation was discussed in

Revised on January 15, 2016 03:07:14 by Urs Schreiber (78.35.50.158)