Solving the $η$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus

Details Solving the $η$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus Solving the $η$-Problem in Hybrid Inflation with Heisenberg Symmetry and Stabilized Modulus

2008-08-18

arxiv.org/abs/0808.2425v2

JCAP 0901:040,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 4 figures; appendix and reference added; version published in JCAP

Scientific paper

10.1088/1475-7516/2009/01/040

We propose a class of models in which the $\eta$-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 Kaehler 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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