Models of inflation, supersymmetry breaking and observational constraints

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We review the connection between inflationary models and observations and concentrate to describe models based on softly broken supersymmetry, in particular running mass models, and their predictions. We then present a fit of the spectral index of the curvature perturbation, assuming a flat $Λ$CDM cosmology.
16 pages, 2 figures, LaTeX. To appear in the Proceedings of the Conference ``DARK2000 - Third international conference on dark matter in astro and particle physics'' at Heidelberg, Germanyon 10-15 July 2000

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