Quantization of four-dimensional Abelian gravity

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An abelian version of standard general relativity in the Cartan-Palatini gauge-like formulation in four dimensions has been introduced. Traditional canonical analysis utilizing similarities to the akin Husain-Kuchar SU(2) version of gravity has been performed. The model has been next quantized in the canonical path-integral Faddeev-Popov formalism yielding abelian BF theory.
Minor changes, additional symmetry discussed. 5 pages, 2 columns, REVTeX 4

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