Lobachevsky holography in conformal Chern-Simons gravity

Understand

We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions.

• As an example we check their consistency in conformal Chern-Simons gravity.
• The canonical charges are quadratic in the fields, but nonetheless integrable, conserved and finite.
• The asymptotic symmetry algebra consists of one copy of the Virasoro algebra with central charge c=24k, where k is the Chern-Simons level, and an affine u(1).