CERN Accelerating science

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Report number arXiv:2009.01709 ; KCL-PH-TH/2020-44 ; CERN-TH-2020-136 ; ACT-6-20 ; MI-TH-2024, UMN-TH-3926/20 ; MI-TH-2024, UMN-TH-3926/20 ; FTPI-MINN-20/29 ; IFT-UAM/CSIC-20-126
Title Building Models of Inflation in No-Scale Supergravity
Author(s) Ellis, John (King's Coll. London ; CERN ; NICPB, Tallinn) ; Garcia, Marcos A.G. (Madrid, IFT) ; Nagata, Natsumi (Tokyo U.) ; Nanopoulos Dimitri V. (TAMU, College Station ; HARC, Woodlands ; Athens Academy) ; Olive, Keith A. (Minnesota U.) ; Verner, Sarunas (Minnesota U.)
Publication 2020-10-22
Imprint 2020-09-03
Number of pages 85
Note 84 pages, 21 figures, invited review submitted to IJMPD
In: Int. J. Mod. Phys. D 29 (2020) 2030011
DOI 10.1142/S0218271820300116
Subject category hep-th ; Particle Physics - Theory ; gr-qc ; General Relativity and Cosmology ; astro-ph.CO ; Astrophysics and Astronomy ; hep-ph ; Particle Physics - Phenomenology
Abstract After reviewing the motivations for cosmological inflation formulated in the formalism of supersymmetry, we argue that the appropriate framework is that of no-scale supergravity. We then show how to construct within this framework inflationary models whose predictions for the tilt in the spectrum of scalar perturbations, $n_s$, and the ratio, $r$, of tensor and scalar perturbations coincide with those of the $R + R^2$ model of inflation proposed by Starobinsky. A more detailed study of no-scale supergravity reveals a structure that is closely related to that of $R^2$ modifications of the minimal Einstein-Hilbert action for general relativity, opening avenues for constructing no-scale de Sitter and anti-de Sitter models by combining pairs of Minkowski models, as well as generalizations of the original no-scale Starobinsky models of inflation. We then discuss the phenomenology of no-scale models of inflation, including inflaton decay and reheating, and then the construction of explicit scenarios based on SU(5), SO(10) and string-motivated flipped SU(5)$\times$U(1) GUT models. The latter provides a possible model of almost everything below the Planck scale, including neutrino masses and oscillations, the cosmological baryon asymmetry and cold dark matter, as well as $n_s$ and $r$.
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publication: © World Scientific Publishing



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