Diff-invariant Kinetic Terms in Arbitrary Dimensions

TL;DR

This paper investigates quadratic diff-invariant Lagrangians across various dimensions, extending previous four-dimensional results and highlighting differences between even and odd dimensions using covariant symplectic methods.

Contribution

It generalizes the analysis of diff-invariant kinetic terms to arbitrary dimensions and clarifies the distinctions between even and odd-dimensional cases.

Findings

Extended previous four-dimensional results to arbitrary dimensions.

Identified key differences between even and odd-dimensional cases.

Applied covariant symplectic techniques to analyze physical content.

Abstract

We study the physical content of quadratic diff-invariant Lagrangians in arbitrary dimensions by using covariant symplectic techniques. This paper extends previous results in dimension four. We discuss the difference between the even and odd dimensional cases.