Higher-derivative massive actions from dimensional reduction

TL;DR

This paper introduces a method to derive higher-derivative massive actions by reducing massless actions in higher dimensions, successfully generalizing known gravity models.

Contribution

It presents a novel dimensional reduction approach to generate higher-derivative massive actions, extending linearized gravity models to arbitrary dimensions.

Findings

Derived higher-derivative massive actions from massless actions

Generalized New Massive Gravity to arbitrary dimensions

Provided a systematic procedure for higher-derivative action construction

Abstract

A procedure to obtain higher-derivative free massive actions is proposed. It consists in dimensional reduction of conventional two-derivative massless actions, where solutions to constraints bring in higher derivatives. We apply this procedure to derive the arbitrary dimensional generalizations of (linearized) New Massive Gravity and New Topologically Massive Gravity.