Grand Unified Supersymmetric Inflationary Cosmology.

Mathematics – Logic

Scientific paper

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Scientific paper

A theoretical laboratory is presented, within the framework of supergravity unification, which satisfies all experimental and cosmological constraints below the Planck scale, notably those from standard big bang nucleosynthesis, baryogenesis, and the fermionic spectrum. An intermediate scale, around 10^{10} -10^{11}GeV, arises from the examination of inflation, supersymmetry breaking, the Peccei-Quinn symmetry, fermion masses, proton decay, and the baryon asymmetry of the universe. Careful attention is paid to the renormalization of proton decay operators. Although a realistic low energy spectrum follows from an isospin -like global symmetry (familiarity), a rather baroque higgs sector is needed to cancel anomalies and implement the missing multiplet mechanism. A low reheat temperature and baryogenesis from out-of-equilibrium decays are perhaps the most noteworthy aspects of the model, whose general success is not yet matched by any models derived from the correct theory of nature, based on strings rather than point field theory.

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