Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
$\alpha'$ Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives
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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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hep-th 4representative citing papers
A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
Assisted multi-fibre inflation distributes the required field range across several moduli in global CY orientifolds, overcoming single-field Kähler cone obstructions to realize viable inflation.
citing papers explorer
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Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift
Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
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On Calabi-Yau Threefolds For Unified LVS Inflation
A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.
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Assisted Fibre Inflation in Perturbative LVS
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
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On Global Embedding of Assisted Fibre Inflation
Assisted multi-fibre inflation distributes the required field range across several moduli in global CY orientifolds, overcoming single-field Kähler cone obstructions to realize viable inflation.