Gravitational Perturbation and Kerr/CFT Correspondence

TL;DR

This paper derives the two-point function for energy-momentum operators in the Kerr/CFT correspondence by analyzing gravitational perturbations near the horizon of a near-extremal Kerr black hole, confirming the dual CFT predictions.

Contribution

It explicitly computes the two-point function for spin-2 energy-momentum operators in the Kerr/CFT framework using boundary action variation.

Findings

Two-point function matches dual CFT correlators

Boundary action approach yields conformal correlators

Supports Kerr/CFT correspondence validity

Abstract

We find the explicit form of two-point function for the conformal spin-2 energy momentum operators on the near horizon of a near extremal Kerr black hole by variation of a proper boundary action. In this regard, we consider an appropriate boundary action for the gravitational perturbation of the Kerr black hole. We show that the variation of the boundary action with respect to the boundary fields yields the two-point function for the energy momentum tensor of a conformal field theory. We find agreement between the two-point function and the correlators of the dual conformal field theory to the Kerr black hole.