2020/04/30 by David Andriot, Niccolò Cribiori, David Erkinger · 2 citations
Physics and Astronomy · #hep-th #astro-ph.CO #gr-qc #hep-ph
paper · pdf · doi:10.1007/jhep07(2020)162
v2: minor modifications, published version
arxiv created 2020/07/22 · arxiv updated 2020/08/26
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. λ≥ (1)/(2)√((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 potential V on the other side schematically as m∼ |V|(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.