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(Quasi-) de Sitter solutions across dimensions and the TCC bound

A bstract In this work, we investigate the existence of string theory solutions with a d -dimensional (quasi-) de Sitter spacetime, for 3 ≤ d ≤ 10. Considering classical compactifications, we derive no-go theorems valid for general d . We use them to exclude (quasi-) de Sitter solutions for d ≥ 7. I...

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Published in:The journal of high energy physics 2023-01, Vol.2023 (1), p.20-47, Article 20
Main Authors: Andriot, David, Horer, Ludwig
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description A bstract In this work, we investigate the existence of string theory solutions with a d -dimensional (quasi-) de Sitter spacetime, for 3 ≤ d ≤ 10. Considering classical compactifications, we derive no-go theorems valid for general d . We use them to exclude (quasi-) de Sitter solutions for d ≥ 7. In addition, such solutions are found unlikely to exist in d = 6 , 5. For each no-go theorem, we further compute the d -dependent parameter c of the swampland de Sitter conjecture, M p ∣ ∇ V ∣ V ≥ c . Remarkably, the TCC bound c ≥ 2 d − 1 d − 2 is then perfectly satisfied for d ≥ 4, with several saturation cases. However, we observe a violation of this bound in d = 3. We finally comment on related proposals in the literature, on the swampland distance conjecture and its decay rate, and on the so-called accelerated expansion bound.
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subjects Astrophysics
Classical and Quantum Gravitation
Decay rate
Elementary Particles
Flux Compactifications
General Relativity and Quantum Cosmology
High energy physics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Inequality
Investigations
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String and Brane Phenomenology
String Theory
Supergravity Models
Theorems
Universe
title (Quasi-) de Sitter solutions across dimensions and the TCC bound
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