Abstract
We implement inflation in a supersymmetric SU(5) model with U(1)R-symmetry such that the cosmic microwave anisotropy δT/T is proportional to (M/MPlanck)2, where M∼MGUT=2–3×1016GeV, the SU(5) breaking scale, and MPlanck=2.4×1019GeV. The presence of a global U(1)X symmetry, spontaneously broken also at scale MGUT, provides an upper bound MGUT2/MPlanck∼1014GeV on the masses of SU(5) singlet right-handed neutrinos, which explains the mass scale associated with atmospheric neutrino oscillations. The SU(5) monopoles and U(1)X cosmic strings are inflated away. Although the doublet–triplet splitting requires fine-tuning, the MSSM μ problem is resolved and dimension five proton decay is strongly suppressed.
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