Physical states in $N = 1$ supergravity

By solving the supersymmetry constraints for physical wave-functions, it is shown that the only two allowed bosonic states in $N = 1$ supergravity are of the form const.~exp~$(\pm I / \hbar)$, where $I$ is an action functional of the three-metric. States containing a finite number of fermions are forbidden. In the case that the spatial topology is $S^3$, the state const.~exp~$(- I / \hbar)$ is the wormhole ground state, and the state const.~exp~$(I / \hbar)$ is the Hartle--Hawking state. $N = 1$ supergravity has no quantum ultraviolet divergences, and no quantum corrections.