  We present the holographic dual for the strongly coupled, low energy dynamics
of balanced ${\cal N}=4$ field theories in $(2+1)$ dimensions. The infinite
family of Type IIB backgrounds with AdS$_4\times S^2\times S^2$ factors is
described in terms of a Laplace problem with suitable boundary conditions. The
system describes an array of D3, NS5 and D5 branes. We study various aspects of
these Hanany--Witten set-ups (number of branes, linking numbers, dimension of
the Higgs and Coulomb branches) and encode them in holographic calculations. A
generic expression for the Free Energy/Holographic Central Charge is derived.
These quantities are then calculated explicitly in various general examples. We
also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The
connection with previous results in the bibliography is made.
