Born-Infeld Gravity in any Dimension

TL;DR

This paper introduces a Born-Infeld type gravity theory applicable in any dimension, with special focus on four dimensions where it relates to self-dual formulations and Ashtekar variables, and discusses potential supersymmetric extensions.

Contribution

It develops a novel Born-Infeld gravity formalism valid in any dimension, connecting it to existing self-dual and Ashtekar formulations, and outlines a supersymmetric generalization.

Findings

Self-dual Born-Infeld gravity in four dimensions.

Reduction to Deser-Gibbons and Jacobson-Smolin-Samuel actions.

Outline of a supersymmetric extension.

Abstract

We develop a Born-Infeld type theory for gravity in any dimension. We show that in four dimensions our formalism allows a self-dual (or anti-self dual) Born-Infeld gravity description. Moreover, we show that such a self-dual action is reduced to both the Deser-Gibbons and the Jacobson-Smolin-Samuel action of Ashtekar formulation. A supersymmetric generalization of our approach is outlined.