A component of superconnection of 11-dimensional curved superspace at   second order in anticommuting coordinates
  We calculate a component of connection superfields and Lorentz superparameter at second order in anticommuting coordinates in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion'. This configuration of superspace holds the $\kappa $-symmetry for supermembrane Lagrangian and represents 11-dimensional on-shell supergravity. 
Shibusa Yuuichirou