The Palatini action can be quantized on R^3 using SL(2,C) as the complexification of SU(2), yielding theta vacua and suggesting that the Gauss law algebra replaces diffeomorphism constraints.
P., and Reyes-Lega, A
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Asymptotic Quantization of Palatini Action
The Palatini action can be quantized on R^3 using SL(2,C) as the complexification of SU(2), yielding theta vacua and suggesting that the Gauss law algebra replaces diffeomorphism constraints.