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

TL;DR

This paper constructs a class of 3D higher spin black holes using polynomial flat connections, analytically solves matter fluctuation equations to find Quasi Normal Modes, and analyzes their boundary correlators.

Contribution

It introduces a new class of 3D higher spin black holes and provides analytical solutions for their Quasi Normal Modes and boundary two-point functions.

Findings

Analytical spectrum of Quasi Normal Modes for these black holes

Explicit bulk to boundary two-point functions

Connections to other higher spin backgrounds

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.