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arXiv · 1607.01395

$\alpha'$ Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives

Michele Cicoli·David Ciupke·Senarath de Alwis·Francesco Muia
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Abstract

The leading order dynamics of the type IIB Large Volume Scenario is characterised by the interplay between $\alpha'$ and non-perturbative effects which fix the overall volume and all local blow-up modes leaving (in general) several flat directions. In this paper we show that, in an arbitrary Calabi-Yau with at least one blow-up mode resolving a point-like singularity, any remaining flat directions can be lifted at subleading order by the inclusions of higher derivative $\alpha'$ corrections. We then focus on simple fibred cases with one remaining flat direction which can behave as an inflaton if its potential is generated by both higher derivative $\alpha'$ and winding loop corrections. Natural values of the underlying parameters give a spectral index in agreement with observational data and a tensor-to-scalar ratio of order $r=0.01$ which could be observed by forthcoming CMB experiments. Dangerous corrections from higher dimensional operators are suppressed due to the presence of an approximate non-compact shift symmetry.

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Michele Cicoli, David Ciupke, Senarath de Alwis, Francesco Muia. 2016-07-05. $\alpha'$ Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives. https://doi.org/10.1007/jhep09(2016)026

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