Pole inflation and primordial black holes formation in Starobinsky-like supergravity

Abstract

We extend the Cecotti-Kallosh model of Starobinsky inflation in supergravity by adding a holomorphic function to the superpotential in order to generate a large peak in the power spectrum of scalar (curvature) perturbations. In our approach, the singular non-canonical kinetic terms are largely responsible for inflation (as an attractor solution), whereas the superpotential is engineered to generate a production of primordial black holes. We study the cases with (i) a linear holomorphic function, (ii) a quadratic holomorphic function, and (iii) an exponential holomorphic function, as regards the dependence of inflation and primordial black holes production upon parameters of those functions and initial conditions, as well as verify viability of inflation with our superpotentials. We find that an efficient production of primordial black holes consistent with CMB measurements is only possible in the second (ii) case. We calculate the masses of the produced primordial black holes and find that they are below the Hawking (black hole) evaporation limit, so that they cannot be part of the current dark matter in our Universe.

22 pages, 16 figures, LaTeX; short comments added, figures updated

References in corpus (14)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• The Unity of Cosmological Attractors
• Improved limits on the tensor-to-scalar ratio using BICEP and Planck
• Embedding (R+R^2)-Inflation into Supergravity
• Cosmological Attractor Models and Higher Curvature Supergravity
• Oscillations in the inflaton potential?
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Analytic extensions of Starobinsky model of inflation
• Resonant features in the stochastic gravitational wave background
• Polynomial $\alpha$-attractors
• Superstring-inspired supergravity as the universal source of inflation and quintessence
• On the equivalence between Starobinsky and Higgs inflationary models in gravity and supergravity
• Formation of primordial black holes after Starobinsky inflation
• Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter

Cited by in corpus (14)

• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Large fluctuations and Primordial Black Holes
• Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Improved model of primordial black hole formation after Starobinsky inflation
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Large curvature fluctuations from no-scale supergravity with a spectator field
• Improved model of large-field inflation with primordial black hole production in Starobinsky-like supergravity