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, $$ {M}_p\frac{\mid \nabla V\mid }{V}\ge c $$ . Remarkably, the TCC bound $$ c\ge \frac{2}{\sqrt{\left(d-1\right)\left(d-2\right)}} $$ 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.
{ "_oai": { "updated": "2023-04-26T00:32:35Z", "id": "oai:repo.scoap3.org:74964", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "France", "value": "Laboratoire d\u2019Annecy-le-Vieux de Physique Th\u00e9orique (LAPTh), CNRS, Universit\u00e9 Savoie Mont Blanc (USMB), UMR 5108, 9 Chemin de Bellevue, Annecy, 74940, France", "organization": "Laboratoire d\u2019Annecy-le-Vieux de Physique Th\u00e9orique (LAPTh), CNRS, Universit\u00e9 Savoie Mont Blanc (USMB), UMR 5108" } ], "surname": "Andriot", "email": "andriot@lapth.cnrs.fr", "full_name": "Andriot, David", "given_names": "David" }, { "affiliations": [ { "country": "France", "value": "Laboratoire d\u2019Annecy-le-Vieux de Physique Th\u00e9orique (LAPTh), CNRS, Universit\u00e9 Savoie Mont Blanc (USMB), UMR 5108, 9 Chemin de Bellevue, Annecy, 74940, France", "organization": "Laboratoire d\u2019Annecy-le-Vieux de Physique Th\u00e9orique (LAPTh), CNRS, Universit\u00e9 Savoie Mont Blanc (USMB), UMR 5108" }, { "country": "Austria", "value": "Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10/136, Vienna, A-1040, Austria", "organization": "TU Wien" } ], "surname": "Horer", "email": "ludwig.horer@tuwien.ac.at", "full_name": "Horer, Ludwig", "given_names": "Ludwig" } ], "titles": [ { "source": "Springer", "title": "(Quasi-) de Sitter solutions across dimensions and the TCC bound" } ], "dois": [ { "value": "10.1007/JHEP01(2023)020" } ], "publication_info": [ { "page_end": "47", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP01(2023)020", "year": 2023, "page_start": "1", "journal_issue": "1" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-04-26T00:30:55.080292", "source": "Springer", "method": "Springer", "submission_number": "7a780660e3c911ed80743e7708eaa62a" }, "page_nr": [ 47 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "74964", "record_creation_date": "2023-01-11T09:30:21.969230", "_files": [ { "checksum": "md5:460376419f1b7d9a354eda73340332ba", "filetype": "xml", "bucket": "b1ea88f8-a581-486d-ad0b-2297b6e8238f", "version_id": "dc195029-8f08-411a-9404-1b1f7213b783", "key": "10.1007/JHEP01(2023)020.xml", "size": 14795 }, { "checksum": "md5:7500184ea1140e77197fae06242e327e", "filetype": "pdf/a", "bucket": "b1ea88f8-a581-486d-ad0b-2297b6e8238f", "version_id": "85373702-2985-4aaa-9f51-20fa70555c7c", "key": "10.1007/JHEP01(2023)020_a.pdf", "size": 819473 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "astro-ph.CO", "gr-qc", "hep-ph" ], "value": "2208.14462" } ], "abstracts": [ { "source": "Springer", "value": "In this work, we investigate the existence of string theory solutions with a d-dimensional (quasi-) de Sitter spacetime, for 3 \u2264 d \u2264 10. Considering classical compactifications, we derive no-go theorems valid for general d. We use them to exclude (quasi-) de Sitter solutions for d \u2265 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, <math> <msub> <mi>M</mi> <mi>p</mi> </msub> <mfrac> <mrow> <mo>\u2223</mo> <mo>\u2207</mo> <mi>V</mi> <mo>\u2223</mo> </mrow> <mi>V</mi> </mfrac> <mo>\u2265</mo> <mi>c</mi> </math> $$ {M}_p\\frac{\\mid \\nabla V\\mid }{V}\\ge c $$ . Remarkably, the TCC bound <math> <mi>c</mi> <mo>\u2265</mo> <mfrac> <mn>2</mn> <msqrt> <mrow> <mfenced> <mrow> <mi>d</mi> <mo>\u2212</mo> <mn>1</mn> </mrow> </mfenced> <mfenced> <mrow> <mi>d</mi> <mo>\u2212</mo> <mn>2</mn> </mrow> </mfenced> </mrow> </msqrt> </mfrac> </math> $$ c\\ge \\frac{2}{\\sqrt{\\left(d-1\\right)\\left(d-2\\right)}} $$ is then perfectly satisfied for d \u2265 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." } ], "imprints": [ { "date": "2023-01-09", "publisher": "Springer" } ] }