Bosonic physical states in N=1 supergravity?
  It is argued that states in $N=1$ supergravity that solve all of the constraint equations cannot be bosonic in the sense of being independent of the fermionic degrees of freedom. (Based on a talk given by Miguel Ortiz at the 7th Marcel Grossmann Meeting.) 
S. M. Carroll, D. Z. Freedman, M. E. Ortiz and D. N. Page