A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.
Holography of new conformal higher spin gravities in 3d for low spins
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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.
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Enhanced Conformal $BMS_3$ Symmetries
A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.