Abstract
We present a class of no-scale phenomenological N = 1 supergravity models in which the gravitino is much lighter than the weak interaction scale. In particular, we present a simple model in which the gravitino mass is fixed dynamically to be m 3 2 = m p W m p−1 P , 1 < p < 2 . In addition, we find that the QCD vacuum parameter θ is determined to be zero, thus solving the strong CP problem. Such models avoid the cosmological problems of models with m 3 2 = O(m W ) , and photino decay into γ + gravitino poses no problem if annihilation suppresses the initial photino density below the baryon density of the universe.
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