Abstract
The locally [Formula: see text]-symmetric extension of the vierbein formalism of the Einstein gravity is systematically reconstructed. The superconnection is defined by the requirement that the vierbein supermultiplet and the [Formula: see text] “vielbein” one have vanishing supercovariant derivatives. By using the superconnection, the globally super-invariant gauge-fixing Lagrangian density and the corresponding FP-ghost one are explicitly constructed. Then the theory is shown to be invariant under the extended BRS symmetry corresponding to the local [Formula: see text] symmetry.
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