Grand Unified Inflation Confronts WMAP

preprint2003arXivOpen access

Abstract

In a class of realistic four and five dimensional supersymmetric grand unified models, the scalar spectral index is found to be ns=0.98(±0.01)n_s=0.98 (\pm 0.01), in excellent agreement with the values determined by several previous experiments and most recently by the Wilkinson Microwave Anisotropy Probe (WMAP). The models predict dns/dlnk∼10−3dn_s/d{\rm ln}k\sim 10^{-3} and a negligible tensor-to-scalar ratio r∼10−8r\sim 10^{-8}. A new five dimensional supersymmetric SO(10) model along these is presented in which inflation is associated with the breaking of SO(10) to SU(5) at scale MM, with δT/T∝(M/MPlanck)2δT/T\propto (M/M_{\rm Planck})^2, so that M≃1016M\simeq 10^{16} GeV. The inflaton decay leads to the observed baryon asymmetry via leptogenesis. We also discuss how the monopole problem is solved without the use of non-renormalizable terms.

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