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A geometrical instability for ultra-light fields during inflation?

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arxiv 1807.03818 v2 pith:GIJ477TM submitted 2018-07-10 hep-th astro-ph.CO

A geometrical instability for ultra-light fields during inflation?

classification hep-th astro-ph.CO
keywords fieldsgeometricalbackgroundcasefieldinstabilitypotentiallyultra-light
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Westudythebehaviourofisocurvatureperturbationsinnon-linearsigmamodels which naturally emerge in supergravity and string inflationary scenarios. We focus on the case of negatively curved field manifolds which can potentially lead to a geometrical destabilisation of isocurvature modes. We find however that heavy fields are stable when their effective mass is computed on the attractor background solution. On the other hand, we show that ultra-light fields can potentially suffer from a geometrical instability when the background trajectory is a geodesic in field space. In this case a full understanding of the system is likely to require the use of non-perturbative methods.

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