Vector Fields in Kerr/CFT Correspondence

TL;DR

This paper calculates the two-point function for vector fields near the horizon of near extremal Kerr black holes within the Kerr/CFT correspondence, confirming gauge independence and consistency with conformal field theory predictions.

Contribution

It introduces a boundary action approach for vector fields in Kerr/CFT, providing a gauge-independent two-point function consistent with CFT expectations.

Findings

Gauge-independent two-point function matches CFT predictions

Boundary action method effective for vector fields in Kerr/CFT

Supports the validity of Kerr/CFT correspondence for vector perturbations

Abstract

In this paper, we use the appropriate boundary action for the vector fields near the horizon of near extremal Kerr black hole to calculate the two-point function for the vector fields in Kerr/CFT correspondence. We show the gauge-independent part of the two-point function is in agreement with what is expected from CFT.