Asymptotic symmetry algebras of conformal gravity in four dimensions

TL;DR

This paper explores the asymptotic symmetry algebras of four-dimensional conformal gravity under specific boundary conditions, identifying the largest algebra as five-dimensional and linking it to a global geon solution.

Contribution

It characterizes the highest dimensional non-trivial asymptotic symmetry algebra of conformal gravity and connects it to a global geon solution.

Findings

Identifies a five-dimensional asymptotic symmetry algebra.

Establishes the connection between symmetry algebra and global geon solution.

Provides boundary conditions for conformal gravity in four dimensions.

Abstract

We consider conformal gravity boundary conditions and outline the highest dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The highest among them is five dimensional and leads to a global geon solution.