# Conformal invariance versus Weyl invariance

## TL;DR

This paper analyzes the most general spin 2 Lagrangian in flat spacetime up to dimension 6, identifying conditions for invariance under various symmetries including diffeomorphisms, Weyl rescalings, and conformal transformations.

## Contribution

It provides a detailed classification of the conditions under which a general spin 2 Lagrangian exhibits conformal and Weyl invariance.

## Key findings

- Derived conditions for invariance under linearized diffeomorphisms
- Established criteria for Weyl rescaling invariance
- Identified constraints for conformal invariance

## Abstract

The most general lagrangian describing spin 2 particles in flat spacetime and containing operators up to (mass) dimension 6 is carefully analyzed, determining the precise conditions for it to be invariant under linearized (transverse) diffeomorphisms, linearized Weyl rescalings, and conformal transformations.