S-Duality for Linearized Gravity

TL;DR

This paper develops an S-duality analogue for linearized gravity in four dimensions, revealing an exact symmetry that relates strong and weak coupling regimes and impacts the cosmological constant.

Contribution

It introduces a novel S-duality framework for linearized gravity using the Macdowell-Mansouri formalism, establishing a symmetry between coupling regimes.

Findings

S-duality for linearized gravity is an exact symmetry.

The duality implies a small-large duality for the cosmological constant.

The approach uses self-dual and anti-self-dual curvature tensors.

Abstract

We develope the analogue of S-duality for linearized gravity in (3+1)-dimensions. Our basic idea is to consider the self-dual (anti-self-dual) curvature tensor for linearized gravity in the context of the Macdowell-Mansouri formalism. We find that the strong-weak coupling duality for linearized gravity is an exact symmetry and implies small-large duality for the cosmological constant.