Pursuing Gravitational S-Duality

TL;DR

This paper explores a gravitational S-duality in non-abelian, non-supersymmetric four-dimensional theories, proposing a method to find dual actions for dynamical gravity models.

Contribution

It introduces an analogous duality procedure for gravity theories, extending the concept of strong-weak coupling duality to a non-abelian gravitational context.

Findings

Derived the dual action for a gauge theory of dynamical gravity.

Extended S-duality concepts from gauge theories to gravity models.

Provided a framework for analyzing gravitational dualities in non-supersymmetric settings.

Abstract

Recently a strong-weak coupling duality in non-abelian non-supersymmetric theories in four dimensions has been found. An analogous procedure is reviewed, which allows to find the `dual action' to the gauge theory of dynamical gravity constructed by the MacDowell-Mansouri model plus the superposition of a $\Theta$ term.