Canonical charges and asymptotic symmetries in four dimensional conformal gravity

TL;DR

This paper computes finite, conserved canonical charges in four-dimensional conformal gravity and classifies the asymptotic symmetry algebras based on boundary conditions, advancing understanding of its boundary structure.

Contribution

It introduces a method to calculate finite, conserved charges in 4D conformal gravity and classifies the asymptotic symmetry algebras under various boundary conditions.

Findings

Charges are finite and conserved.

Asymptotic symmetry algebras depend on boundary conditions.

Classification of symmetry algebras based on Fefferman-Graham expansion.

Abstract

We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras generated by these charges are classified according to the conditions imposed on the first subleading term in the generalised Fefferman-Graham expansion.