  Using quiver gauge theories in (1+2)-dimensions, we give brane realizations
of a class of Quantum Hall Solitons (QHS) embedded in Type IIA superstring on
the ALE spaces with exotic singularities. These systems are obtained by
considering two sets of wrapped D4-branes on 2-spheres. The space-time on which
the QHS live is identified with the world-volume of D4-branes wrapped on a
collection of intersecting 2-spheres arranged as extended Dynkin diagrams of
Kac-Moody Lie algebras. The magnetic source is given by an extra orthogonal
D4-brane wrapping a generic 2-cycle in the ALE spaces. It is shown as well that
data on the representations of Kac-Moody Lie algebras fix the filling factor of
the QHS. In case of finite Dynkin diagrams, we recover results on QHS with
integer and fractional filling factors known in the literature. In case of
hyperbolic bilayer models, we obtain amongst others filling factors describing
holes in the graphene.
