Weyl superspace

It is shown that the equations of motion of eleven-dimensional supergravity follow from setting the dimension zero components of the superspace torsion tensor equal to the Dirac matrices. The proof of this assertion is facilitated by the introduction of a connection taking its values in the Lie algebra of CSpin(1,10) = Spin(1,10) × R+. The resulting formulation of eleven-dimensional supergravity is Weyl covariant but is equivalent to the usual formulation modulo topological considerations.