Curvature and isocurvature perturbations in two-field inflation

Abstract

We study cosmological perturbations in two-field inflation, allowing for non-standard kinetic terms. We calculate analytically the spectra of curvature and isocurvature modes at Hubble crossing, up to first order in the slow-roll parameters. We also compute numerically the evolution of the curvature and isocurvature modes from well within the Hubble radius until the end of inflation. We show explicitly for a few examples, including the recently proposed model of `roulette' inflation, how isocurvature perturbations affect significantly the curvature perturbation between Hubble crossing and the end of inflation.

29 pages, 12 figures; v2: updated references, discussion extended, matches the published version

References in corpus (6)

• Primordial trispectrum from inflation
• Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
• Roulette Inflation with Kähler Moduli and their Axions
• Holographic Grand Unification
• The Price of WMAP Inflation in Supergravity
• Inflation, quantum fluctuations and cosmological perturbations

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