Conformal Chern-Simons gravity
Abstract:
Partial masslessness is a general feature of massive higher spins in
(A)dS backgrounds at the linearized level. Considering the case of
spin-2 we discuss the gauge symmetry enhancement via partial
masslessness. Requiring this gauge symmetry to be present also
non-linearly reduces such actions to conformal gravity in three
dimensions (Conformal Chern-Simons Gravity). After performing a
canonical analysis of this theory and constructing the gauge generators
and associated charges, we provide and classify admissible boundary
conditions. This classification leads to various physically distinct
scenarios of holography. In the most general case the dual CFT contains
an additional scalar field with background charge.