1D Supergravity FLRW Model of Starobinsky
We study two homogeneous supersymmetric extensions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow&...
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oai:doaj.org-article:9b42092433574a2a8b372819c2032e1a2021-11-25T19:09:54Z1D Supergravity FLRW Model of Starobinsky10.3390/universe71104492218-1997https://doaj.org/article/9b42092433574a2a8b372819c2032e1a2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/449https://doaj.org/toc/2218-1997We study two homogeneous supersymmetric extensions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></semantics></math></inline-formula> modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula> that contains the FLRW scalar curvature. One model has N = 1 local supersymmetry, and its bosonic sector is the Starobinsky action; the other action has N = 2, its bosonic sector contains, in additional to Starobinsky, a massive scalar field without self-interaction. As expected, the bosonic sectors of these models are consistent with cosmic inflation, as we show by solving numerically the classical dynamics. Inflation is driven by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula> term during the large curvature regime. In the N = 2 case, the additional scalar field remains in a low energy state during inflation. Further, by means of an additional superfield, we write equivalent tensor-scalar-like actions from which we can give the Hamiltonian formulation.Nephtalí E. Martínez-PérezCupatitzio Ramírez-RomeroVíctor M. Vázquez-BáezMDPI AGarticlelocal supersymmetrymodel of starobinskycosmic inflationElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 449, p 449 (2021) |
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local supersymmetry model of starobinsky cosmic inflation Elementary particle physics QC793-793.5 |
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local supersymmetry model of starobinsky cosmic inflation Elementary particle physics QC793-793.5 Nephtalí E. Martínez-Pérez Cupatitzio Ramírez-Romero Víctor M. Vázquez-Báez 1D Supergravity FLRW Model of Starobinsky |
description |
We study two homogeneous supersymmetric extensions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></semantics></math></inline-formula> modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula> that contains the FLRW scalar curvature. One model has N = 1 local supersymmetry, and its bosonic sector is the Starobinsky action; the other action has N = 2, its bosonic sector contains, in additional to Starobinsky, a massive scalar field without self-interaction. As expected, the bosonic sectors of these models are consistent with cosmic inflation, as we show by solving numerically the classical dynamics. Inflation is driven by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula> term during the large curvature regime. In the N = 2 case, the additional scalar field remains in a low energy state during inflation. Further, by means of an additional superfield, we write equivalent tensor-scalar-like actions from which we can give the Hamiltonian formulation. |
format |
article |
author |
Nephtalí E. Martínez-Pérez Cupatitzio Ramírez-Romero Víctor M. Vázquez-Báez |
author_facet |
Nephtalí E. Martínez-Pérez Cupatitzio Ramírez-Romero Víctor M. Vázquez-Báez |
author_sort |
Nephtalí E. Martínez-Pérez |
title |
1D Supergravity FLRW Model of Starobinsky |
title_short |
1D Supergravity FLRW Model of Starobinsky |
title_full |
1D Supergravity FLRW Model of Starobinsky |
title_fullStr |
1D Supergravity FLRW Model of Starobinsky |
title_full_unstemmed |
1D Supergravity FLRW Model of Starobinsky |
title_sort |
1d supergravity flrw model of starobinsky |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/9b42092433574a2a8b372819c2032e1a |
work_keys_str_mv |
AT nephtaliemartinezperez 1dsupergravityflrwmodelofstarobinsky AT cupatitzioramirezromero 1dsupergravityflrwmodelofstarobinsky AT victormvazquezbaez 1dsupergravityflrwmodelofstarobinsky |
_version_ |
1718410233088311296 |