Stable Nonsupersymmetric Anti-de Sitter Vacua of Massive IIA Supergravity.

Adolfo Guarino,Emanuel Malek,Henning Samtleben

doi:10.1103/physrevlett.126.061601

Abstract

Stable nonsupersymmetric anti-de Sitter (AdS) vacua of string theory are widely believed not to exist. In this Letter, we analytically compute the full bosonic Kaluza-Klein spectrum around the G_{2}-invariant nonsupersymmetric AdS_{4} solution of massive IIA supergravity and show that it is perturbatively stable. We also provide evidence that six other nonsupersymmetric AdS_{4} solutions of massive IIA supergravity are perturbatively stable. Since previous studies have indicated that these AdS vacua may also be nonperturbatively stable, our findings pose a challenge to the swampland conjecture.

Highlights

Constructing stable nonsupersymmetric vacua of string theory is one of its foremost challenges and crucial for applications to phenomenology, cosmology, and holography
We provide evidence that six other nonsupersymmetric AdS4 solutions of massive IIA supergravity are perturbatively stable
Since previous studies have indicated that these anti–de Sitter (AdS) vacua may be nonperturbatively stable, our findings pose a challenge to the swampland conjecture

Summary

Published by the American Physical Society

Compactifications of massive IIA supergravity on various deformed S6 spheres and are stable within the fourdimensional supergravity. [12,13], a general Kaluza-Klein fluctuation around a vacuum that uplifts from fourdimensional gauged supergravity can be expressed as a product of the modes of the consistent truncation, with a complete basis of functions on the compactification manifold. MMN ðx; yÞ 1⁄4 UMAUNB δAB þ PAB;I YΣjI;ΣðxÞ ; ð2Þ where the Kaluza-Klein fluctuations for the metric, vector fields, and scalars are labeled by hμν;ΣðxÞ, AμA;Σ, and jI;Σ ∈ e7ð7Þ ⊖ suð8Þ, respectively. The latter appear under projection PA B;I, with I 1⁄4 1; ...; 70 resulting from the expansion of the group element MMN. The fluctuation ansatz (2) induces mass matrices for the Kaluza-Klein spectrum which are entirely expressed through the embedding tensor of the N 1⁄4 8 gauged supergravity

XMN P and the linear action

This truncated sector contains seven nonsupersymmetric

AdS radius

Casimir operator

2Þðl þ