Black Hole Monodromy and Conformal Field Theory

TL;DR

This paper explores how the monodromy data of solutions to the Klein-Gordon equation in black hole backgrounds reveal hidden conformal symmetry, connecting black hole thermodynamics with scattering phenomena and suggesting universality across black holes.

Contribution

It demonstrates the relationship between monodromy data and hidden conformal symmetry in black holes, providing a new perspective on black hole thermodynamics and scattering features.

Findings

Monodromy data encodes hidden conformal symmetry.

Inner horizon features appear in scattering data.

Hidden conformal symmetry is universal among black holes.

Abstract

The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.