Abstract
The underlying OSP invariance of the Fradkin-Vilkovisky formalism is discussed. Ghost degrees of freedom are interpreted as negative dimensional phase space variables that eliminate unphysical degrees of freedom by the Parisi-Sourlas mechanism, ensuring manifest covariance. The formalism makes use of subsidiary constraints, extending the usual algebra of constraints. A relations between abelian and nonabelian constraint algebras is established, and exploited to construct a nonabelian representation of the OSP generators. For theories based entirely on constraints such as string theories, the natural Fradkin-Vilkovisky hamiltonian is a manifestly OSP invariant squared length of a graded phase space vector. As an application, the OSP covariant formulation of bosonic strings is discussed.
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