  We construct Landau-Ginzburg effective field theories for fractional quantum
Hall states -- such as the Pfaffian state -- which exhibit non-Abelian
statistics. These theories rely on a Meissner construction which increases the
level of a non-Abelian Chern-Simons theory while simultaneously projecting out
the unwanted degrees of freedom of a concomitant enveloping Abelian theory. We
describe this construction in the context of a system of bosons at Landau level
filling factor $\nu=1$, where the non-Abelian symmetry is a
dynamically-generated SU(2) continuous extension of the discrete particle-hole
symmetry of the lowest Landau level. We show how the physics of quasiparticles
and their non-Abelian statistics arises in this Landau-Ginzburg theory. We
describe its relation to edge theories -- where a coset construction plays the
role of the Meissner projection -- and discuss extensions to other states.
