(Quasi-) de Sitter solutions across dimensions and the TCC bound
Abstract 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 a...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)020 |
| _version_ | 1797836718773108736 |
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| author | David Andriot Ludwig Horer |
| author_facet | David Andriot Ludwig Horer |
| author_sort | David Andriot |
| collection | DOAJ |
| description | Abstract 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 $$ {M}_p\frac{\mid \nabla V\mid }{V}\ge c $$ . Remarkably, the TCC bound c ≥ 2 d − 1 d − 2 $$ c\ge \frac{2}{\sqrt{\left(d-1\right)\left(d-2\right)}} $$ 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. |
| first_indexed | 2024-04-09T15:13:28Z |
| format | Article |
| id | doaj.art-f26a940c28064392a05e063edfc8ae64 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:28Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f26a940c28064392a05e063edfc8ae642023-04-30T11:04:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023114710.1007/JHEP01(2023)020(Quasi-) de Sitter solutions across dimensions and the TCC boundDavid Andriot0Ludwig Horer1Laboratoire d’Annecy-le-Vieux de Physique Théorique (LAPTh), CNRS, Université Savoie Mont Blanc (USMB), UMR 5108Laboratoire d’Annecy-le-Vieux de Physique Théorique (LAPTh), CNRS, Université Savoie Mont Blanc (USMB), UMR 5108Abstract 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 $$ {M}_p\frac{\mid \nabla V\mid }{V}\ge c $$ . Remarkably, the TCC bound c ≥ 2 d − 1 d − 2 $$ c\ge \frac{2}{\sqrt{\left(d-1\right)\left(d-2\right)}} $$ 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.https://doi.org/10.1007/JHEP01(2023)020Flux CompactificationsString and Brane PhenomenologySupergravity Models |
| spellingShingle | David Andriot Ludwig Horer (Quasi-) de Sitter solutions across dimensions and the TCC bound Journal of High Energy Physics Flux Compactifications String and Brane Phenomenology Supergravity Models |
| title | (Quasi-) de Sitter solutions across dimensions and the TCC bound |
| title_full | (Quasi-) de Sitter solutions across dimensions and the TCC bound |
| title_fullStr | (Quasi-) de Sitter solutions across dimensions and the TCC bound |
| title_full_unstemmed | (Quasi-) de Sitter solutions across dimensions and the TCC bound |
| title_short | (Quasi-) de Sitter solutions across dimensions and the TCC bound |
| title_sort | quasi de sitter solutions across dimensions and the tcc bound |
| topic | Flux Compactifications String and Brane Phenomenology Supergravity Models |
| url | https://doi.org/10.1007/JHEP01(2023)020 |
| work_keys_str_mv | AT davidandriot quasidesittersolutionsacrossdimensionsandthetccbound AT ludwighorer quasidesittersolutionsacrossdimensionsandthetccbound |