Self-dual classical higher-spin multicopy

TL;DR

This paper extends the self-dual classical double copy framework to higher-spin fields using light-cone gauge prepotentials, enabling construction of higher-spin solutions for self-dual Kerr-Schild spacetimes.

Contribution

It introduces a higher-spin extension of the self-dual double copy in light-cone gauge, applicable to a broad class of self-dual Kerr-Schild spacetimes.

Findings

Higher-spin Weyl tensors exhibit various multicopy patterns depending on the background.

The extension is formulated at the level of light-cone gauge prepotentials.

The method applies to any self-dual spacetime with a Kerr-Schild form.

Abstract

We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual spacetime that admits a Kerr-Schild form. We also discuss the counterpart of this procedure at the level of Weyl tensors. We find that, depending on the class of the original gravitational background, higher-spin Weyl tensors may follow various multicopy patterns.