Non-Quasinormal Modes and Black Hole Physics

TL;DR

This paper introduces non-quasinormal modes in black hole physics, linking their frequencies to quantum properties of black holes and reproducing string theory predictions for five-dimensional rotating black holes.

Contribution

It defines non-quasinormal modes based on monodromy, connecting them to black hole entropy and string theory fractionalization phenomena.

Findings

Correct quantum behavior of near-horizon Virasoro algebra

Reproduction of conformal weight fractionization in 5D black holes

Establishment of non-quasinormal modes linked to black hole microstates

Abstract

The near-horizon geometry of a large class of extremal and near-extremal black holes in string and M theory contains three-dimensional asymptotically anti-de Sitter space. Motivated by this structure, we are led naturally to a discrete set of complex frequencies defined in terms of the monodromy at the inner and outer horizons of the black hole. We show that the correspondence principle, whereby the real part of these ``non-quasinormal frequencies'' is identified with certain fundamental quanta, leads directly to the correct quantum behavior of the near-horizon Virasoro algebra, and thus the black hole entropy. Remarkably, for the rotating black hole in five dimensions we also reproduce the fractionization of conformal weights predicted in string theory.