Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to th...

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Autores principales: Dibya Chakraborty, Cesar Damian, Alberto González Bernal, Oscar Loaiza-Brito
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/73fc45d9925d4174b2b8a6d3dbdd2afc
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spelling oai:doaj.org-article:73fc45d9925d4174b2b8a6d3dbdd2afc2021-11-25T19:09:39ZInflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures10.3390/universe71104232218-1997https://doaj.org/article/73fc45d9925d4174b2b8a6d3dbdd2afc2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/423https://doaj.org/toc/2218-1997We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to the four-dimensional entropy which establishes a bound on the usual slow-roll parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>η</mi><mi>H</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ϵ</mi><mi>H</mi></msub></semantics></math></inline-formula>. We also show an explicit calculation of entropy from a toroidal flux compactification, from a transition amplitude of time-dependent fluxes which allows us to determine the conditions on which the bounds on the slow-roll parameters are in agreement to the dSC.Dibya ChakrabortyCesar DamianAlberto González BernalOscar Loaiza-BritoMDPI AGarticlefluxesentropyswamplandmulti-field inflationElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 423, p 423 (2021)
institution DOAJ
collection DOAJ
language EN
topic fluxes
entropy
swampland
multi-field inflation
Elementary particle physics
QC793-793.5
spellingShingle fluxes
entropy
swampland
multi-field inflation
Elementary particle physics
QC793-793.5
Dibya Chakraborty
Cesar Damian
Alberto González Bernal
Oscar Loaiza-Brito
Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
description We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to the four-dimensional entropy which establishes a bound on the usual slow-roll parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>η</mi><mi>H</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ϵ</mi><mi>H</mi></msub></semantics></math></inline-formula>. We also show an explicit calculation of entropy from a toroidal flux compactification, from a transition amplitude of time-dependent fluxes which allows us to determine the conditions on which the bounds on the slow-roll parameters are in agreement to the dSC.
format article
author Dibya Chakraborty
Cesar Damian
Alberto González Bernal
Oscar Loaiza-Brito
author_facet Dibya Chakraborty
Cesar Damian
Alberto González Bernal
Oscar Loaiza-Brito
author_sort Dibya Chakraborty
title Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
title_short Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
title_full Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
title_fullStr Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
title_full_unstemmed Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures
title_sort inflationary implications of the covariant entropy bound and the swampland de sitter conjectures
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/73fc45d9925d4174b2b8a6d3dbdd2afc
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AT albertogonzalezbernal inflationaryimplicationsofthecovariantentropyboundandtheswamplanddesitterconjectures
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