CHY or ambitwistor-string descriptions

Construct a Cachazo–He–Yuan or ambitwistor-string description for at least one theory involving totally antisymmetric higher-rank structure constants f^{abcd\ldots}.

Background

Bi-adjoint scalar theory and several standard double-copy theories possess CHY or ambitwistor-string formulations. The paper extends the color algebra and constructs generalized scalar and other theories but does not provide such a worldsheet description for them.

A CHY or ambitwistor realization would clarify the geometric and integrable structures underlying the higher-rank theories and could provide new tools for computing their amplitudes.