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

Abstract

We study holography of the 3d Chern-Simons theory as a gauge theory of $so(3,2)$, $s{l}_4$ and $s{l}_5$ 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.

9 pages, 2 tables, contribution to Seventeenth Marcel Grossmann Meeting, references added