Abstract
We revisit the study of the probe scalar quasinormal modes of a class of three- charge super- symmetric microstate geometries. We compute the real and imaginary parts of the quasinormal modes and show that in the parameter range when the geometries have large AdS region, the spectrum is precisely reproduced from a D1-D5 orbifold CFT analysis. The spectrum includes the slow decaying modes pointed out by Eperon, Reall, and Santos. We analyse in detail the nature of the quasinormal modes by studying the scalar wavefunction. We show that these modes correspond to slow leakage of excitation from AdS throat to infinity.
Highlights
Quasinormal modes of supersymmetric microstate geometriesWe begin with a study of the quasinormal modes of the three-charge supersymmetric microstate geometries of [6,7,8]
With regard to how the fuzzball proposal reproduces detailed classical and quantum properties of black holes
In the context of supersymmetric D1-D5-P black hole, the fuzzball program has met with the most success
Summary
We begin with a study of the quasinormal modes of the three-charge supersymmetric microstate geometries of [6,7,8]. The term “quasinormal modes” refers to modes with definite frequency ω. We begin with a review of the scalar wave equation on the GMS geometries [22, 30, 31] and obtain the quasinormal mode spectrum via a matched asymptotic expansion analysis. Our investigation is inspired by the study of Eperon, Reall, and Santos [22], who have studied quasinormal mode in a matched asymptotic expansion. The main difference from their work is that our matched asymptotic expansion analysis is done in a “near decoupling limit”, whereas their matched asymptotic expansion is done in the “eikonal limit” with the angular momentum parameter l being large.
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