Holography of new conformal higher spin gravities in 3d for low spins

TL;DR

This paper explores the holographic correspondence of 3d Chern-Simons theories with various gauge algebras, analyzing solutions including generalized BTZ black holes and their classifications based on symmetry subgroups.

Contribution

It introduces a detailed study of holography in 3d higher spin gravities with new boundary conditions and classifies solutions according to symmetry subgroups.

Findings

Identification of generalized BTZ solutions in higher spin theories

Classification of solutions based on $so(3,2)$ subgroups

Analysis of boundary conditions linking Chern-Simons and metric formulations

Abstract

We study holography of the 3d Chern-Simons theory as a gauge theory of $so(3,2)$, $sl_4$ and $sl_5$ algebras. For the near horizon boundary conditions we comment solutions from several projectors from Chern-Simons to the metric formulation. These solutions are generalized BTZ solutions for our theories. We also study the classification according to $so(3,2)$ one parameter subgroups for obtained solutions.