Abstract
A canonical operator formalism of supergravity in covariant gauges is presented in the framework of indefinite-metric quantum field theory. In order to specify the invariant physical subspace by a simple subsidiary condition Q B|phys〉=0 with the help of the BRS charge Q B, it is found necessary to adopt an unconventional form of spinor-FP-ghost Lagrangian i c ̄ ∗∂/ D ̷ c slightly different from the usual one c ̄ ∗ D ̷ c . By clarifying the metric structure of the total Fock space spanned by the asymptotic fields, the physical S-matrix unitarity for arbitrary gauge parameters is proved. This unitarity proof is also made simpler by the present choice of FP-ghost Lagrangian. The relationship between the present FP-ghost Lagrangian and the conventional one is also made clear.
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