Angular Power Spectrum in Modular Invariant Inflation Model

Statistics – Computation

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Compactification And Four-Dimensional Models, Quantum Mechanics, Supersymmetry

Scientific paper

A scalar potential of inflation is proposed and the angular power spectra of the adiabatic density perturbations are computed. The potential consists of three scalar fields, S, Y and T, together with two free parameters. By fitting the parameters to cosmological data at the fixed point T = 1, we find that the potential behaves like the single-field potential of S, which slowly rolls down. We further show that the inflation predictions corresponding to this potential provide a good fit to the recent three-year WMAP data, e.g. the spectral index ns = 0.951.
The TT and TE angular power spectra obtained from our model almost completely coincide with the corresponding results obtained from the ΛCDM model. We conclude that our model is considered to be an adequate theory of inflation that explains the present data.

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