Abstract
We seek a supersymmetric GUT which has simultaneously the following desirable cosmological and particle physics properties: cosmological baryosynthesis, inflation, suppression of the five-dimensional operators leading to baryon decay and natural splitting of the GUT and weak interaction scales. We demonstrate the difficulties in reconciling these requirements in most GUT models, in particular in supergravity models with the gravitino mass of order m w, for which a low reheating temperature at the end of the inflationary epoch is required. We then show that it is possible to overcome the above difficulties in models where m 3 2 ⪡ m w or m 3 2 ⪢ m w . We present an example of this strategy with a novel and natural missing partner mechanism, show that the baryon lifetime is sufficiently long and estimate the amount of matter-anitmatter asymmetry in such a model.
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