Toward a twistor action for chiral higher-spin gravity

TL;DR

This paper develops a covariant twistor action for chiral higher-spin gravity in various spacetimes, connecting twistor theory with higher-spin interactions and reproducing known cubic vertices.

Contribution

It introduces a novel covariant twistor action framework for chiral higher-spin gravity applicable in (A)dS and flat space, unifying spacetime and twistor formulations.

Findings

Reproduces all known cubic vertices of chiral higher-spin theory in flat space

Constructs a spacetime action from the twistor formulation

Provides a covariant twistor action applicable in (A)dS and flat backgrounds

Abstract

A covariant twistor action for chiral higher-spin theory in (A)dS and flat space is constructed in terms of a holomorphic Chern-Simons theory on twistor space. The action reproduces all known cubic vertices of chiral higher-spin theory in flat space. The spacetime action of the holomorphic Chern-Simons theory in flat space is also obtained.