Holography of pp-waves in conformal gravity

TL;DR

This paper explores the holographic properties of pp-wave solutions in conformal gravity, revealing novel boundary behaviors and the realization of partially massless responses under specific boundary conditions.

Contribution

It demonstrates that conformal gravity admits pp-wave solutions with unique holographic features, including non-vanishing PMR tensors under Neumann boundary conditions.

Findings

Partially massless response tensors can be non-zero with vanishing subleading terms.

Holography in conformal gravity allows for solutions with distinct boundary conditions.

Generalized pp-waves exhibit novel asymptotic symmetry properties.

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.