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

TL;DR

This paper formulates an off-shell, Lorentz covariant closed string field theory for a8=8 self-dual supergravity in twistor space, connecting string theory and supergravity through a novel action.

Contribution

It introduces a new off-shell, Lorentz covariant closed string field theory for a8=8 supergravity in twistor space, extending previous formulations.

Findings

Provides a closed string field theory action for a8=8 supergravity

Derives a Plebanski-type action in super space from the quantum field theory limit

Establishes a connection between string theory and self-dual supergravity

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.