Incompressible Quantum Hall fluids (QHF's) can be described in the scaling
limit by three-dimensional topological field theories. Thanks to the
correspondence between three-dimensional topological field theories and two
dimensional chiral conformal field theories (CCFT's), we propose to study QHF's
from the point of view of CCFT's.
We derive consistency conditions and stability criteria for those CCFT's that
can be expected to describe a QHF. A general algorithm is presented which uses
simple currents to construct interesting examples of such CCFT's. It
generalizes the description of QHF's in terms of Quantum Hall lattices.
Explicit examples, based on the coset construction, provide candidates for the
description of Quantum Hall fluids with Hall conductivity s_H=1/2 e^2/h, 1/4
e^2/h, 3/5 e^2/h, e^2/h,...