A note on AdS cosmology and gauge theory correlator

TL;DR

This paper investigates two-point Yang-Mills correlators in Kasner backgrounds using AdS/CFT, revealing that near the singularity the correlator may lack poles, and this behavior persists in Kasner AdS soliton geometries.

Contribution

It provides a numerical analysis of Yang-Mills correlators in Kasner and Kasner AdS soliton backgrounds, extending previous observations about pole development near singularities.

Findings

Correlator may not develop poles near the initial singularity.

Qualitative behavior of correlator remains unchanged in Kasner AdS soliton.

Supports previous observations about correlator behavior in singular backgrounds.

Abstract

Using AdS/CFT prescription, we compute two point Yang-Mills correlator on a constant time slice for the Kasner background. Pushing the surface close to the initial singularity, we find, in some cases, the correlator does not develop pole. This is consistent with the observations made in a recent work. We further numerically calculate similar correlator where the bulk is a Kasner AdS soliton. We find that the qualitative behaviour of the correlator remains unchanged.