Dilaton-Axion Inflation with PBHs and GWs

Abstract

We discuss two-stage dilaton-axion inflation models [1] and describe $\alpha$-attractor models with either exponential or polynomial approach to the plateau. We implement one of the models of primordial black hole production proposed in [2] in the $\alpha$-attractor context, and develop its supergravity version. The predictions of this model following from its polynomial attractor properties are: $n_s$ and $r$ are $\alpha$-independent, $r$ depends on the mass parameter $\mu$ defining the approach to the plateau. The tachyonic instability at the transition point between the two stages of inflation is proportional to the negative curvature of the hyperbolic space ${\mathcal{R}}_K=-2/3\alpha$. Therefore the masses of primordial black holes (PBHs) and the frequencies of small-scale gravitational waves (GWs) in this model show significant dependence on $\alpha$.

18 pages, 11 figures

References in corpus (6)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Primordial black hole dark matter from single field inflation
• Generating PBHs and small-scale GWs in two-field models of inflation
• Seven-Disk Manifold, alpha-attractors and B-modes
• Polynomial $\alpha$-attractors
• IIB String Theory and Sequestered Inflation

Cited by in corpus (4)

• Inflation and Primordial Black Holes
• Hybrid $\alpha$-attractors, primordial black holes and gravitational wave backgrounds
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation