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), sl4 and sl5 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.
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