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

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

2003-05-13

arxiv.org/abs/hep-th/0305113v2

Class.Quant.Grav. 20 (2003) L239-L244

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX; references added and corrected, introduction and conclusion slightly expanded

Scientific paper

10.1088/0264-9381/20/20/101

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.

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