Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry

Details Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry

2010-12-10

arxiv.org/abs/1012.2219v2

Physics Letters B699 (2011)204-210

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, in match with the published version

Scientific paper

10.1016/j.physletb.2011.04.003

In this paper, we construct the quasi-normal modes of three-dimensional extremal black holes in an algebraic way. We show that the infinite towers of the quasi-normal modes of scalar, vector and tensor could be constructed as the descendents of the highest weight modes. Our investigation shows that the hidden conformal symmetry suggested in arXiv:1007.4269 is an intrinsic property of the extremal black hole. Moreover, we notice that we need to fix the freedom in defining the local vector fields and find the right hidden conformal symmetry to obtain the physical quasi-normal modes.

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