The web of swampland conjectures and the TCC bound

Mar 31, 2020
47 pages
Published in:
  • JHEP 07 (2020) 162
  • Published: Jul 23, 2020
e-Print:

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Abstract: (Springer)
We consider the swampland distance and de Sitter conjectures, of respective order one parameters λ and c. Inspired by the recent Trans-Planckian Censorship conjecture (TCC), we propose a generalization of the distance conjecture, which bounds λ to be a half of the TCC bound for c, i.e. λ1223 \lambda \ge \frac{1}{2}\sqrt{\frac{2}{3}} in 4d. In addition, we propose a correspondence between the two conjectures, relating the tower mass m on the one side to the scalar 1 potential V on the other side schematically as mV12 m\sim {\left|V\right|}^{\frac{1}{2}} , in the large distance limit. These proposals suggest a generalization of the scalar weak gravity conjecture, and are supported by a variety of examples. The lower bound on λ is verified explicitly in many cases in the literature. The TCC bound on c is checked as well on ten different no-go theorems, which are worked-out in detail, and V is analysed in the asymptotic limit. In particular, new results on 4d scalar potentials from type II compactifications are obtained.
Note:
  • v2: minor modifications, published version
  • Flux compactifications
  • Superstring Vacua
  • Supergravity Models
  • Supersymmetric Effective Theories
  • potential: scalar
  • de Sitter
  • compactification
  • gravitation