https://doi.org/10.1140/epjc/s10052-022-10654-w
Regular Article - Theoretical Physics
Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter
1
Department of Physics, Faculty of Science, Chulalongkorn University, Thanon Phayathai, 10330, Pathumwan, Bangkok, Thailand
2
Department of Theoretical and Nuclear 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
Laboratori Nazionali di Frascati (INFN), Via Enrico Fermi 54, 00044, Frascati 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:
16
June
2022
Accepted:
27
July
2022
Published online:
5
August
2022
We propose a novel model of the modified (Starobinsky-like) old-minimal-type supergravity coupled to a chiral matter superfield, that can simultaneously describe multi-field inflation, primordial black hole (PBH) formation, dark matter (DM), and spontaneous supersymmetry (SUSY) breaking after inflation in a Minkowski vacuum. The PBH masses in our supergravity model of double slow-roll inflation, with a short phase of “ultra-slow-roll” between two slow-roll phases, are close to 
g. We find that a significant PBH fraction in the allowed mass window can be supplemented by spontaneous SUSY breaking in the vacuum with the gravitino mass close to the scalaron (inflaton) mass M of the order 
GeV. Our supergravity model favors the composite nature of DM as a mixture of PBH and heavy gravitinos as the lightest SUSY particles. The composite DM significantly relaxes fine-tuning needed for the whole PBH-DM. The PBH-DM fraction is derived, and the second-order gravitational wave background induced by the enhanced scalar perturbations is calculated. Those gravitational waves may be accessible by the future space-based gravitational interferometers.
© The Author(s) 2022
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