Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions

TL;DR

This paper investigates how classical quasinormal mode frequencies relate to quantum properties of black holes in 2+1 dimensions, linking them to the dual conformal field theory and black hole entropy.

Contribution

It establishes a connection between quasinormal modes and black hole quantum spectra, supporting the quantum behavior of the asymptotic symmetry algebra in 2+1 dimensions.

Findings

Real part of quasinormal frequencies matches black hole quantum units

Correct quantum behavior of asymptotic symmetry algebra confirmed

Proposed link between quasinormal modes and black hole entropy spectrum

Abstract

We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental quanta of black hole mass and angular momentum. We find that this identification leads to the correct quantum behavior of the asymptotic symmetry algebra, and thus of the dual conformal field theory. Finally, we suggest a further connection between quasinormal mode frequencies and the spectrum of a set of nearly degenerate ground states whose multiplicity may be responsible for the Bekenstein-Hawking entropy.