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

Aug 30, 2022
49 pages
Published in:
  • JHEP 01 (2023) 020
  • Published: Jan 9, 2023
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Abstract: (Springer)
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, MpVVc {M}_p\frac{\mid \nabla V\mid }{V}\ge c . Remarkably, the TCC bound c2(d1)(d2) 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.
Note:
  • 49 pages; v3: minor modifications
  • Flux Compactifications
  • String and Brane Phenomenology
  • Supergravity Models
  • space-time: de Sitter
  • expansion: acceleration
  • string model: solution
  • compactification
  • saturation
  • decay rate