This work aims to develop a canonical formulation of quantum gravity that maintains an additional BRS invariance with specific mathematical properties.
Presented a theoretical framework for canonical quantum gravity with higher derivatives.
Incorporated an additional BRS transformation with nilpotency of order two in the formulation.
The new formulation successfully addresses the renormalizability of quantum gravity.
The addition of BRS invariance enhances the consistency of the theoretical framework.
Abstract
A formulation which is invariant under an additional BRS transformation with nilpotency of order two is presented for the canonical theory of the renormalizable quantum gravity with higher derivatives.