Conformal Symmetry for Black Holes in Four Dimensions

TL;DR

This paper demonstrates that by modifying boundary conditions, conformal symmetry can emerge in four-dimensional black holes, leading to a potential two-dimensional CFT dual that explains their entropy.

Contribution

It introduces a new boundary condition framework that reveals conformal symmetry in four-dimensional black holes and connects them to five-dimensional supergravity solutions.

Findings

Conformal symmetry emerges under modified boundary conditions.

Black holes satisfy five-dimensional supergravity equations.

A two-dimensional CFT may account for black hole entropy.

Abstract

We show that the asymptotic boundary conditions of general asymptotically flat black holes in four dimensions can be modified such that a conformal symmetry emerges. The black holes with the asymptotic geometry removed in this manner satisfy the equations of motion of minimal supergravity in five dimensions. We develop evidence that a two dimensional CFT dual of general black holes in four dimensions account for their black hole entropy.