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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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) |
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fluxes entropy swampland multi-field inflation Elementary particle physics QC793-793.5 |
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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 |
work_keys_str_mv |
AT dibyachakraborty inflationaryimplicationsofthecovariantentropyboundandtheswamplanddesitterconjectures AT cesardamian inflationaryimplicationsofthecovariantentropyboundandtheswamplanddesitterconjectures AT albertogonzalezbernal inflationaryimplicationsofthecovariantentropyboundandtheswamplanddesitterconjectures AT oscarloaizabrito inflationaryimplicationsofthecovariantentropyboundandtheswamplanddesitterconjectures |
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1718410223584018432 |