The odd twistor transform in eleven-dimensional supergravity

TL;DR

This paper introduces a twistor-like transform for eleven-dimensional supergravity equations, encoding them via CR-structure on a specific twistor space, and relates linearized equations to tangential Cauchy-Riemann equations.

Contribution

It presents a novel twistor transform for 11D supergravity equations, linking them to CR-structures and tangential Cauchy-Riemann equations.

Findings

Supergravity equations are encoded by CR-structure on a new twistor space.

Linearized supergravity equations correspond to tangential Cauchy-Riemann equations.

Provides a geometric framework for supergravity using twistor theory.

Abstract

We define a twistor-like transform of the equations of eleven-dimensional supergravity. More precisely these equations are encoded by the CR-structure on the twistor space P^{2*15+11|8*2+16}. In addition equations of the linearized eleven-dimensional supergravity adapted to the 3-form potential can be transformed into the tangential Cauchy-Riemann equation d omega=0 on P.