Holography of pp-waves in conformal gravity

Abstract

We consider holography of two pp-wave metrics in conformal gravity, their one point functions, and asymptotic symmetries. One of the metrics is a generalization of the standard pp-waves in Einstein gravity to conformal gravity. The holography of this metric shows that within conformal gravity one can have realised solution which has non-vanishing partially massless response (PMR) tensor even for vanishing subleading term in the Fefferman-Graham expansion (i.e. Neumann boundary conditions), and vice-versa.

12 pages, 3 figures

References in corpus (5)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Model for gravity at large distances
• Probing the small distance structure of canonical quantum gravity using the conformal group
• Holographic Two-Point Functions in Conformal Gravity
• Canonical charges and asymptotic symmetry algebra of conformal gravity