  We analyse parafermionic operators in the Q-state Potts model from three
different perspectives. First, we explicitly construct lattice holomorphic
observables in the Fortuin-Kasteleyn representation, and point out some special
simplifying features of the particular case Q=2 (Ising model). In particular,
away from criticality, we find a lattice generalisation of the massive Majorana
fermion equation. We also compare the parafermionic scaling dimensions with
known results from CFT and Coulomb gas methods in the continuum. Finally, we
show that expectation values of these parafermions correspond to local
observables of the SLE process which is conjectured to describe the scaling
limit of the Q-state Potts model.
