Asymptotic accelerated expansion in string theory and the Swampland

Abstract We study whether the universal runaway behaviour of stringy scalar potentials towards infinite field distance limits can produce an accelerated expanding cosmology à la quintessence. We identify a loophole to some proposed bounds that forbid such asymptotic (at parametric control) accelerat...

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Main Authors: José Calderón-Infante, Ignacio Ruiz, Irene Valenzuela
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2023)129
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author José Calderón-Infante
Ignacio Ruiz
Irene Valenzuela
author_facet José Calderón-Infante
Ignacio Ruiz
Irene Valenzuela
author_sort José Calderón-Infante
collection DOAJ
description Abstract We study whether the universal runaway behaviour of stringy scalar potentials towards infinite field distance limits can produce an accelerated expanding cosmology à la quintessence. We identify a loophole to some proposed bounds that forbid such asymptotic (at parametric control) accelerated expansion in 4d N $$ \mathcal{N} $$ = 1 supergravities, by considering several terms of the potential competing asymptotically. We then analyse concrete string theory examples coming from F-theory flux compactifications on Calabi-Yau fourfolds, extending previous results by going beyond weak string coupling to different infinite distance limits in the complex structure moduli space. We find some potential candidates to yield asymptotic accelerated expansion with a flux potential satisfying γ = ‖ ∇ V ‖ V < 2 $$ \gamma =\frac{\left\Vert \nabla V\right\Vert }{V}<\sqrt{2} $$ along its gradient flow. However, whether this truly describes an accelerated expanding cosmology remains as an open question until full moduli stabilization including the Kahler moduli is studied. Finally, we also reformulate the condition for forbidding asymptotic accelerated expansion as a convex hull de Sitter conjecture which resembles a convex hull scalar WGC for the membranes generating the flux potential. This provides a pictorial way to quickly determine the asymptotic gradient flow trajectory in multi-moduli setups and the value of γ along it.
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spelling doaj.art-829c03f7e22e49798fc311eb73c367422023-09-24T11:05:20ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023617110.1007/JHEP06(2023)129Asymptotic accelerated expansion in string theory and the SwamplandJosé Calderón-Infante0Ignacio Ruiz1Irene Valenzuela2Instituto de Física Teórica UAM-CSIC and Departamento de Física Teórica, Universidad Autónoma de MadridInstituto de Física Teórica UAM-CSIC and Departamento de Física Teórica, Universidad Autónoma de MadridInstituto de Física Teórica UAM-CSIC and Departamento de Física Teórica, Universidad Autónoma de MadridAbstract We study whether the universal runaway behaviour of stringy scalar potentials towards infinite field distance limits can produce an accelerated expanding cosmology à la quintessence. We identify a loophole to some proposed bounds that forbid such asymptotic (at parametric control) accelerated expansion in 4d N $$ \mathcal{N} $$ = 1 supergravities, by considering several terms of the potential competing asymptotically. We then analyse concrete string theory examples coming from F-theory flux compactifications on Calabi-Yau fourfolds, extending previous results by going beyond weak string coupling to different infinite distance limits in the complex structure moduli space. We find some potential candidates to yield asymptotic accelerated expansion with a flux potential satisfying γ = ‖ ∇ V ‖ V < 2 $$ \gamma =\frac{\left\Vert \nabla V\right\Vert }{V}<\sqrt{2} $$ along its gradient flow. However, whether this truly describes an accelerated expanding cosmology remains as an open question until full moduli stabilization including the Kahler moduli is studied. Finally, we also reformulate the condition for forbidding asymptotic accelerated expansion as a convex hull de Sitter conjecture which resembles a convex hull scalar WGC for the membranes generating the flux potential. This provides a pictorial way to quickly determine the asymptotic gradient flow trajectory in multi-moduli setups and the value of γ along it.https://doi.org/10.1007/JHEP06(2023)129Flux CompactificationsCosmological modelsF-Theory
spellingShingle José Calderón-Infante
Ignacio Ruiz
Irene Valenzuela
Asymptotic accelerated expansion in string theory and the Swampland
Journal of High Energy Physics
Flux Compactifications
Cosmological models
F-Theory
title Asymptotic accelerated expansion in string theory and the Swampland
title_full Asymptotic accelerated expansion in string theory and the Swampland
title_fullStr Asymptotic accelerated expansion in string theory and the Swampland
title_full_unstemmed Asymptotic accelerated expansion in string theory and the Swampland
title_short Asymptotic accelerated expansion in string theory and the Swampland
title_sort asymptotic accelerated expansion in string theory and the swampland
topic Flux Compactifications
Cosmological models
F-Theory
url https://doi.org/10.1007/JHEP06(2023)129
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