Chiral higher-spin double copy

TL;DR

This paper constructs a Lorentz-invariant double copy of chiral higher-spin theory, demonstrating how its spectrum and interactions mirror lower-spin theories, and proposing new product theories from self-dual models.

Contribution

It introduces the double copy construction for chiral higher-spin theories and explores related product theories combining self-dual Yang-Mills, gravity, and higher-spin models.

Findings

Spectrum is the tensor square of the original chiral higher-spin spectrum.

Interactions factorise similarly to lower-spin double-copy theories.

Proposes new theories as products of self-dual Yang-Mills, gravity, and higher-spin theories.

Abstract

We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. Moreover, its interactions factorise in close analogy with the way interactions factorise in lower-spin double-copy theories. We also propose theories, which can be viewed as products of self-dual Yang-Mills theory, self-dual gravity and chiral higher-spin theories taken in different combinations and powers.