Abstract
A local Becchi-Rouet-Stora operator corresponding to the Weyl\ifmmode\times\else\texttimes\fi{}Lorentz\ifmmode\times\else\texttimes\fi{}diffeomorphism symmetry is constructed in n-dimensional curved space-time. Actions invariant under subalgebras of the resulting local symmetry for the free bosonic string and Einstein gravity are derived.
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