The single copy of the gravitational holonomy

Understand

The double copy is a well-established relationship between gravity and gauge theories.

• It relates perturbative scattering amplitudes as well as classical solutions, and recently there has been mounting evidence that it also applies to non-perturbative information.
• In this paper, we consider the holonomy properties of manifolds in gravity and prescribe a single copy of gravitational holonomy that differs from the holonomy in gauge theory.
• We discuss specific cases and give examples where the single copy holonomy group is reduced.