Free Spin 2 Duality Invariance Cannot be Extended to GR

TL;DR

This paper demonstrates that the duality invariance found in linearized gravity does not extend to full general relativity, unlike in the case of Yang-Mills corrections to Maxwell, which do admit a deformed duality.

Contribution

It provides explicit computations showing the failure of duality invariance extension from linearized gravity to full GR.

Findings

Duality invariance fails at the cubic approximation of GR

Yang-Mills correction to Maxwell admits a deformed duality

Linearized gravity duality cannot be extended to full GR

Abstract

We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity fails, already at first self-interacting, cubic, approximation of GR. In contrast, the cubic Yang-Mills correction to Maxwell does admit a simple deformed duality.