Large Scale Structure and Supersymmetric Inflation without Fine Tuning

Abstract

We explore constraints on the spectral index $n$ of density fluctuations and the neutrino energy density fraction ${\Omega }_{HDM}$, employing data from a variety of large scale observations. The best fits occur for $n\approx 1$ and ${\Omega }_{HDM}\approx 0.15-0.30$, over a range of Hubble constants $40-60$ km s${}^{-1}$ Mpc${}^{-1}$. We present a new class of inflationary models based on realistic supersymmetric grand unified theories which do not have the usual `fine tuning' problems. The amplitude of primordial density fluctuations, in particular, is found to be proportional to $(M_X/M_P{)}^2$, where $M_X(M_P)$ denote the GUT (Planck) scale, which is reminiscent of cosmic strings! The spectral index $n=0.98$, in excellent agreement with the observations provided the dark matter is a mixture of `cold' and `hot' components.

LaTEX, 14 pp. + 1 postscript figure appended

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• Hybrid Inflation
• False Vacuum Inflation with Einstein Gravity
• The Cold Dark Matter Density Perturbation
• Inflation and Large Scale Structure Formation After COBE
• Inflation and Mixed Dark Matter Models
• A Simple Model of Large Scale Structure Formation

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• Hybrid inflation from supersymmetry breaking
• Gravitational wave production after inflation for a hybrid inflationary model
• Retrofitting Models of Inflation
• Modulus D-term Inflation
• Loop quantum inflation with inverse volume corrections in light of ACT data
• Kination cosmology from scalar fields and gravitational-wave signatures
• SUSY, Inflation and the Origin of Matter in the Universe
• Neutrino Masses and Mixing from Supersymmetric Inflation
• Hybrid Inflation in Quasi-minimal Supergravity with Monotonic Inflationary Potentia
• Inverted Hybrid Inflation as a solution to gravitino problems in Gravity Mediation