nLab
N=4 D=3 super Yang-Mills theory

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.

Related concepts

• N=2 D=4 super Yang-Mills theory

• N=4 D=4 super Yang-Mills theory

References

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

• Nathan Seiberg, Edward Witten, Gauge Dynamics And Compactification To Three Dimensions (arXiv:hep-th/9607163)

The mirror symmetry operation was discussed in

• Ken Intriligator, Nathan Seiberg, Mirror Symmetry in Three Dimensional Gauge Theories, Phys.Lett.B387:513-519,1996 (arXiv:hep-th/9607207)