Ss. Feng et Ys. Duan, CONSERVATIVE ANGULAR-MOMENTUM AS SU(2) CHARGES IN COMPLEX GRAVITY, Communications in Theoretical Physics, 25(4), 1996, pp. 485-490
We obtain the conservative internal SU(2) charges in terms of Ashtekar
new variables from the Lagrangian formalism of complex gravity. It is
shown that the charges are related to the conservative angular moment
um in the vierbein description of Einstein gravity and the Poisson bra
ckets constitute the SU(2) algebra. Furthermore, they commute with all
the constraints hence they are observable and expected to play an imp
ortant role in the quantization of gravity.