  The Hilbert spaces of the edge excitations of several ``paired'' fractional
quantum Hall states, namely the Pfaffian, Haldane-Rezayi and 331 states, are
constructed and the states at each angular momentum level are enumerated. The
method is based on finding all the zero energy states for those Hamiltonians
for which each of these known ground states is the exact, unique, zero-energy
eigenstate of lowest angular momentum in the disk geometry. For each state, we
find that, in addition to the usual bosonic charge-fluctuation excitations,
there are fermionic edge excitations. The edge states can be built out of
quantum fields that describe the fermions, in addition to the usual scalar
bosons (or Luttinger liquids) that describe the charge fluctuations. The
fermionic fields in the Pfaffian and 331 cases are a non-interacting Majorana
(i.e., real Dirac) and Dirac field, respectively. For the Haldane-Rezayi state,
the field is an anticommuting scalar. For this system we exhibit a chiral
Lagrangian that has manifest SU(2) symmetry but breaks Lorentz invariance
because of the breakdown of the spin statistics connection implied by the
scalar nature of the field and the positive definite norm on the Hilbert space.
Finally we consider systems on a cylinder where the fluid has two edges and
construct the sectors of zero energy states, discuss the projection rules for
combining states at the two edges, and calculate the partition function for
each edge excitation system at finite temperature in the thermodynamic limit.
It is pointed out that the conformal field theories for the edge states are
examples of orbifold constructions.
