Toward a twistor action for chiral higher-spin gravity

Abstract

A covariant twistor action for chiral higher-spin theory in (A)dS is constructed in terms of a holomorphic Chern-Simons theory on twistor space. The action reproduces all known cubic vertices of chiral higher-spin gravity in flat space. Parts of the spacetime action of chiral higher-spin gravity in flat space are also obtained by working in the Woodhouse gauge.Comment: 5 page