Abstract
We analyze the constraints of general coordinate invariance for quantum theories possessing conformal symmetry in four dimensions. The character of these constraints simplifies enormously on the Einstein universe . The SO(4,2) global conformal symmetry algebra of this space determines uniquely a finite shift in the Hamiltonian constraint from its classical value. In other words, the global Wheeler-De Witt equation is modified at the quantum level in a well-defined way in this case. We argue that the higher moments of should not be imposed on the physical states a priori either, but only the weaker condition . We present an explicit example of the quantization and diffeomorphism constraints on for a free conformal scalar field.
- Received 2 October 1995
DOI:https://doi.org/10.1103/PhysRevD.55.4756
©1997 American Physical Society