Supersymmetry breaking and a normalizable wavefunction for the FRW ( <i>k</i> = 0) cosmological model

Abstract

Making use of supersymmetry breaking selection rules under local n = 2 conformal supersymmetry we are able to obtain a normalizable wavefunction (at zero energy) of the universe for the FRW cosmological model (k = 0). For this purpose it is necessary to `weight' the inner product with the scalar factor R. The appropriate Hermitian operators are constructed and the expectation value of R is calculated giving us the size of the universe.