Near Horizon of 5D Rotating Black Holes from 2D Perspective

TL;DR

This paper explores the dual conformal field theory description of five-dimensional extremal rotating black holes by analyzing their near horizon geometry from a two-dimensional perspective, confirming the Kerr/CFT correspondence in higher dimensions.

Contribution

It demonstrates that gauge fields related to rotations appear uniformly in the asymptotic symmetry and central charge, extending Kerr/CFT to five dimensions.

Findings

Gauge fields for rotations appear similarly in asymptotic symmetry.

Results agree with the generalized Kerr/CFT approach.

Supports the dual CFT description of 5D extremal black holes.

Abstract

We study the CFT dual to five dimensional extremal rotating black holes, by investigating the two dimensional perspective of their near horizon geometry. From two dimensional point of view, we show that both gauge fields, related to the two rotations, appear in the same manner in the asymptotic symmetry and in the associated central charge. We find that, our results are in perfect agreement with the generalization of Kerr/CFT approach to five dimensional extremal rotating black holes.