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

• Published in: The journal of high energy physics 2023-01, Vol.2023 (1), p.20-47, Article 20
• Main Authors: Andriot, David, Horer, Ludwig
• Format: Article
• Language: English
• 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
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP01(2023)020

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.