SUPERSYMMETRIC MINISUPERSPACE WITH NONVANISHING FERMION NUMBER

The Lagrangian of N=1 supergravity is dimensionally reduced to one (timelike) dimension assuming spatial homogeneity of any Bianchi type within class A of the classification of Ellis and McCallum. The algebra of the supersymmetry generators, the Lorentz generators, the diffeomorphism generators, and the Hamiltonian generator is determined and found to close. In contrast to earlier work, infinitely many physical states with nonvanishing even fermion number are found to exist in these models, indicating that minisuperspace models in supergravity may be just as useful as in pure gravity. © 1995 The American Physical Society.