  We show how super BF theory in any dimension can be quantized as a spin foam
model, generalizing the situation for ordinary BF theory. This is a first step
toward quantizing supergravity theories. We investigate in particular
3-dimensional (p=1,q=1) supergravity which we quantize exactly. We obtain a
super-Ponzano-Regge model with gauge group OSp(1|2). A main motivation for our
approach is the implementation of fermionic degrees of freedom in spin foam
models. Indeed, we propose a description of the fermionic degrees of freedom in
our model. Complementing the path integral approach we also discuss aspects of
a canonical quantization in the spirit of loop quantum gravity. Finally, we
comment on 2+1-dimensional quantum supergravity and the inclusion of a
cosmological constant.
