Pure Lovelock gravity and Chern-Simons theory

TL;DR

This paper investigates how Pure Lovelock gravity can be derived as a limit of Chern-Simons theories in odd dimensions, providing explicit derivations in five and seven dimensions and discussing higher-dimensional cases.

Contribution

It establishes a connection between Pure Lovelock gravity and Chern-Simons theories through algebraic expansions, offering a new perspective on their relationship in various dimensions.

Findings

Pure Lovelock gravity can be obtained from Chern-Simons actions in odd dimensions.

Explicit derivations are provided for five and seven dimensions.

General results and issues in higher dimensions are discussed.

Abstract

We explore the possibility of finding Pure Lovelock gravity as a particular limit of a Chern-Simons action for a specific expansion of the AdS algebra in odd dimensions. We derive this relation at the level of the action in five and seven dimensions. Additionally we provide the general result for higher dimensions and discuss some issues arising from the obtained dynamics.