AdS and the Swampland

By D. Lust, Eran Palti, C. Vafa. Physics Letters B, 2019

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We study aspects of anti-de Sitter space in the context of the Swampland. In particular, we conjecture that the near-flat limit of pure AdS belongs to the Swampland, as it is necessarily accompanied by an infinite tower of light states. The mass of the tower is power-law in the cosmological constant, with a power of $\frac{1}{2}$ for the supersymmetric case. We discuss relations between this behaviour and other Swampland conjectures such as the censorship of an unbounded number of massless fields, and the refined de Sitter conjecture. Moreover, we propose that changes to the AdS radius have an interpretation in terms of a generalised distance conjecture which associates a distance to variations of all fields. In this framework, we argue that the distance to the $\Lambda \rightarrow 0$ limit of AdS is infinite, leading to the light tower of states. We also discuss implications of the conjecture for de Sitter space.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/df025013a87f8a718d62a65385396e2ddbc9a7d5

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Citations in the corpus

The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics (2021, background): “Constraints from the AdS Distance Conjecture Compactification of the SM on a circle can also yield apparent violations of the AdS Distance Conjecture introduced in Section 2.3, as studied mainly in [101,102].”
Lectures on the Swampland Program in String Compactifications (2021, background): “As discussed in [83], the flat spacetime limit Λ → 0 is then at infinite distance in this metric configuration space.”