The odd twistor transform in eleven-dimensional supergravity
  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. 
M. V. Movshev
hep-th math-ph math.AG math.DG math.MP