Wave Function of a Supersymmetric FRW Model with Vector Fields

A specific Friedmann–Robertson–Walker (FRW) model derived from the theory of N = 1 supergravity with gauged supermatter is considered in this paper. The supermatter content is restricted to a vector supermultiplet. The corresponding Lorentz and supersymmetry quantum constraints are then derived. Nontrivial solutions are subsequently found. A no-boundary solution is identified while another state may be interpreted as a wormhole solution.