Abstract
Quantum Einstein gravity by Nakanishi yields a large symmetry, OSp(2D; 2D)(D ≥3). In a new framework, the quantum Einstein gravity is uniquely reconstructed on the basis of the intrinsic OSp-symmetry and the nonlinear ξ-field realization by Abe. Since the intrinsic OSp-covariant “derivation” is defined so that the nonlinearity of the symmetry transformation causes no trouble, the “conventional” Einstein-Hilbert action is derived as a bilinear form on a C∞-module as proposed in the previous paper. The essential difference between the classical Einstein gravity and the quantum Einstein one is clearly shown through this framework.
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