Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes

Abstract

We present a class of 3D Black Holes based on flat connections which are polynomials in the BTZ $hs(\lambda )\times hs(\lambda )$-valued connection. We solve analytically the fluctuation equations of matter in their background and find the spectrum of their Quasi Normal Modes. We analyze the bulk to boundary two-point functions. We also relate our results and those arising in other backgrounds discussed recently in the literature on the subject.

arXiv commentv3: typo corrected in first line of Eq (4.2), improved presentation

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