How to deal with conformal and pure scale-invariant theories of gravity in d dimensions?

TL;DR

This paper discusses the formulation and properties of conformal and scale-invariant gravity theories in higher dimensions, highlighting differences from four-dimensional cases.

Contribution

It introduces a new formulation for higher-dimensional conformal and scale-invariant gravity theories and analyzes their distinct properties.

Findings

Higher-dimensional theories are more complex to study than four-dimensional ones.

Imposing scale or conformal invariance leads to different properties in higher dimensions.

The paper presents an elegant method to handle these theories.

Abstract

Conformally-invariant and pure, scale-invariant theories of gravity are particularly interesting in four or higher dimensions. Yet, in contrast to their four-dimensional counterparts, theories in higher dimensions are significantly more difficult to study. In these proceedings, following our recent work, we will formulate such theories in d dimensions, present an elegant way to handle them, and show that imposing invariance under scale or conformal transformations gives rise to entirely different properties when compared to their four-dimensional analogues.