TY - JOUR

T1 - AdS and the Swampland

AU - Lüst, Dieter

AU - Palti, Eran

AU - Vafa, Cumrun

N1 - Funding Information:
The work of D.L. is supported by the Origins Excellence Cluster . The research of C.V. is supported in part by the NSF grant PHY-1719924 and by a grant from the Simons Foundation ( 602883 , CV). We would like to thank P. Agrawal, D. Jafferis, J. Maldacena and G. Obied for discussions. D.L. and E.P. would like to thank Harvard University, where this project was initiated, for hospitality.
Funding Information:
The work of D.L. is supported by the Origins Excellence Cluster. The research of C.V. is supported in part by the NSF grant PHY-1719924 and by a grant from the Simons Foundation (602883, CV). We would like to thank P. Agrawal, D. Jafferis, J. Maldacena and G. Obied for discussions. D.L. and E.P. would like to thank Harvard University, where this project was initiated, for hospitality.
Publisher Copyright:
© 2019 The Authors

PY - 2019/10/10

Y1 - 2019/10/10

N2 - 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 [Formula presented] 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 Λ→0 limit of AdS is infinite, leading to the light tower of states. We also discuss implications of the conjecture for de Sitter space.

AB - 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 [Formula presented] 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 Λ→0 limit of AdS is infinite, leading to the light tower of states. We also discuss implications of the conjecture for de Sitter space.

UR - http://www.scopus.com/inward/record.url?scp=85071197874&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2019.134867

DO - 10.1016/j.physletb.2019.134867

M3 - Article

AN - SCOPUS:85071197874

SN - 0370-2693

VL - 797

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 134867

ER -