https://doi.org/10.1140/epjc/s10052-020-08506-6
Regular Article – Theoretical Physics
Primordial black holes from modified supergravity
1
Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, Pathumwan, 10330, Bangkok, Thailand
2
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 Al-Farabi Avenue, 050040, Almaty, Kazakhstan
3
Center for Theoretical Physics, College of Physics, Science and Technology, Sichuan University, 610065, Chengdu, China
4
INFN, Sezione Roma Tor Vergata, 00133, Rome, Italy
5
Department of Physics, Tokyo Metropolitan University, 1-1 Minami-ohsawa, 192-0397, Hachioji-shi, Tokyo, Japan
6
Research School of High-Energy Physics, Tomsk Polytechnic University, 2a Lenin Avenue, 634028, Tomsk, Russian Federation
7
Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, 277-8583, Kashiwa, Japan
Received:
14
July
2020
Accepted:
25
September
2020
Published online:
6
October
2020
The modified supergravity approach is applied to describe a formation of Primordial Black Holes (PBHs) after Starobinsky inflation. Our approach naturally leads to the two-(scalar)-field attractor-type double inflation, whose first stage is driven by scalaron and whose second stage is driven by another scalar field which belongs to a supergravity multiplet. The scalar potential and the kinetic terms are derived, the vacua are studied, and the inflationary dynamics of those two scalars is investigated. We numerically compute the power spectra and we find the ultra-slow-roll regime leading to an enhancement (peak) in the scalar power spectrum. This leads to an efficient formation of PBHs. We estimate the masses of PBHs and we find their density fraction (as part of Dark Matter). We show that our modified supergravity models are in agreement with inflationary observables, while they predict the PBH masses in a range between 
g and 
g. In this sense, modified supergravity provides a natural top-down approach for explaining and unifying the origin of inflation and the PBHs Dark Matter.
© The Author(s) 2020
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