Solving the ?-problem in hybrid inflation with Heisenberg symmetry and stabilized modulus

Antusch, Stefan, Bastero-Gil, Mar, Dutta, Koushik, King, Steve F. and Kostka, Philipp M. (2009) Solving the ?-problem in hybrid inflation with Heisenberg symmetry and stabilized modulus. Journal of Cosmology and Astroparticle Physics, 2009 (1), 40. (doi:10.1088/1475-7516/2009/01/040).

Abstract

We propose a class of models in which the ?-problem of supersymmetric hybrid inflation is resolved using a Heisenberg symmetry, where the associated modulus field is stabilized and made heavy with the help of the large vacuum energy during inflation without any fine-tuning. The proposed class of models is well motivated both from string theory considerations, since it includes the commonly encountered case of no-scale supergravity Kähler potential, and from the perspective of particle physics since a natural candidate for the inflaton in this class of models is the right-handed sneutrino which is massless during the inflationary epoch, and subsequently acquires a large mass at the end of inflation. We study a specific example motivated by sneutrino hybrid inflation with no-scale supergravity in some detail, and show that the spectral index may lie within the latest WMAP range, while the tensor-to-scalar ratio is very small.

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