Charting the AdS Islands of Stability with Multi-oscillators?

TL;DR

This paper introduces a new class of multi-frequency oscillating solutions in Anti-de Sitter space, which can be stable and help map the regions of stability, using a non-perturbative numerical approach.

Contribution

It presents the first construction of multi-oscillator solutions in AdS and explores their stability, expanding understanding of AdS dynamics beyond perturbative methods.

Findings

Existence of infinite-parameter family of multi-frequency solutions.

Both collapse and non-collapse scenarios are common near AdS.

Solutions are valid on any timescale, not limited to perturbation theory.

Abstract

We propose the existence of an infinite-parameter family of solutions in AdS that oscillate on any number of non-commensurate frequencies. Some of these solutions appear stable when perturbed, and we suggest that they can be used to map out the AdS "islands of stability". By numerically constructing two-frequency solutions and exploring their parameter space, we find that both collapse and non-collapse are generic scenarios near AdS. Unlike other approaches, our results are valid on any timescale and do not rely on perturbation theory.