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

Abstract

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.

16 pages, in match with the published version

References in corpus (6)

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• Warped AdS_3 Black Holes
• The Curious Case of Null Warped Space
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Self-Dual Warped AdS${}_3$ Black Holes

Cited by in corpus (7)

• Dirac Quasinormal Modes of New Type Black Holes in New Massive Gravity
• Quasinormal modes of generalized Pöschl-Teller potentials
• $SL(2,R)$ symmetry and quasi-normal modes in the BTZ black hole
• Gravitational Waves, Holography, and Black Hole Microstates
• On emergent conformal symmetry near the photon ring
• $SL(2,R)\times U(1)$ symmetry and quasinormal modes in the self-dual warped AdS black hole
• Notes on Self-dual Warped dS${}_3$ Spacetime