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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.

A Component of a Superconnection of 11-Dimensional Curved Superspace at Second Order in Anticommuting Coordinates