Conformal Symmetry for General Black Holes

TL;DR

This paper demonstrates that by adjusting the warp factor of five-dimensional asymptotically flat black holes, a conformal symmetry can be revealed, preserving key properties and suggesting a dual CFT description.

Contribution

It introduces a warp factor modification that generalizes hidden conformal symmetry for black holes, applicable regardless of rotation, and connects to AdS/CFT correspondence.

Findings

Warp factor adjustment reveals conformal symmetry in black holes.

Preserves thermodynamic properties and entropy.

Links to dual CFT via embedding in six dimensions.

Abstract

We show that the warp factor of a generic asymptotically flat black hole in five dimensions can be adjusted such that a conformal symmetry emerges. The construction preserves all near horizon properties of the black holes, such as the thermodynamic potentials and the entropy. We interpret the geometry with modified asymptotic behavior as the "bare" black hole, with the ambient flat space removed. Our warp factor subtraction generalizes hidden conformal symmetry and applies whether or not rotation is significant. We also find a relation to standard AdS/CFT correspondence by embedding the black holes in six dimensions. The asymptotic conformal symmetry guarantees a dual CFT description of the general rotating black holes.