Phys. Rev. Lett. 73, 1886–1889 (1994)Large Scale Structure and Supersymmetric Inflation without Fine TuningReceived 24 May 1994; published in the issue dated 3 October 1994 We explore constraints on the spectral index n of density fluctuations and the neutrino energy density fraction Ων from observations of large scale structure. The best fits imply n≈1 and Ων≈0.1-0.3, for Hubble constants 40-60 km s-1 Mpc-1. We present a new class of inflationary models based on realistic supersymmetric grand unified theories (GUTs) which do not have the usual "fine tuning" problems. The amplitude of primordial density fluctuations is found to be ∝(MX/MP)2, where MX (MP) denote the GUT (Planck) scale. The spectral index n=0.98, in excellent agreement with the observations. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.73.1886
DOI:
10.1103/PhysRevLett.73.1886
PACS:
98.80.Cq, 12.10.Dm, 12.60.Jv, 98.65.Dx
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