Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory in Twistor Space

Abstract

A Closed string field theory action is formulated for $\mathcal N$ =8 self-dual supergravity which is off-shell and Lorentz covariant. The bosonic truncation in the quantum field theory limit gives the Plebanski type of action in the super space.