The web of swampland conjectures and the TCC bound

• Published in: The journal of high energy physics 2020-07, Vol.2020 (7), p.1-46, Article 162
• Main Authors: Andriot, David, Cribiori, Niccolò, Erkinger, David
• Format: Article
• Language: English
• Subjects: Censorship; Classical and Quantum Gravitation; Elementary Particles; Flux compactifications; High energy physics; Lower bounds; Order parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supergravity Models; Superstring Vacua; Supersymmetric Effective Theories
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP07(2020)162

A bstract 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 1 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.