Quantization of N=2m simple supergravity in d=2+1

In d=2+1 simple supergravity is a trivial theory and it has a Chern-Simons interpretation. Thus the overall sign of each one of the fermionic terms in the action for N>1 is arbitrary. By making use of these facts it is shown that for the N=2m simple supergravity in d=2+1 there exists a real polarization and an explicit construction of the physical Hilbert space is possible.