Oscillons in AdS space

TL;DR

This paper investigates the behavior and stability of oscillons in a (3+1)-dimensional Anti-de Sitter space, revealing how their lifetime and stability depend on the AdS radius and discussing implications for AdS/CFT duality.

Contribution

It provides a detailed analysis of oscillon dynamics in AdS space, including stability transitions and recurrence phenomena, which were not previously characterized in this context.

Findings

Oscillons exhibit long lifetimes in AdS space.

Decreasing the AdS radius induces a transition from metastable to stable oscillatory solutions.

Recurrence phenomena are observable under suitable conditions.

Abstract

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits a long lifetime. In particular, since the AdS space can be seen as a box, the recurrence phenomenon can be observed under suitable conditions. In particular, as the AdS radius decreases, one can see a transition from a metastable oscillon to a stable oscillatory solution. Finally, we discuss some potential applications of the oscillon in the context of AdS/CFT duality.