Dilatonic AdS-Kerr Solution to AdS/CFT Correspondence

TL;DR

This paper constructs a dilatonic deformation of the AdS_5 solution that interpolates between AdS and flat backgrounds, extending to non-flat boundaries like Kerr space-time, and explores its implications in the AdS/CFT correspondence.

Contribution

It generalizes the dilatonic AdS_5 solution to non-flat boundary geometries, including Kerr space-time, under Einstein vacuum conditions.

Findings

Dilatonic solutions interpolate between AdS and flat backgrounds.

Extension to non-flat boundaries satisfying Einstein equations.

Application to Kerr space-time boundary geometry.

Abstract

We consider the $AdS_5$ solution deformed by a non-constant dilaton interpolating between the standard AdS (UV region) and flat boundary background (IR region). We show that this dilatonic solution can be generalized to the case of a non-flat boundaries provided that the metric of the boundaries satisfies the vacuum Einstein field equations. As an example, we describe the case when the four-dimensional boundaries represent the Kerr space-time.