Topological 2-form Gravity in Four Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages

Scientific paper

10.1103/PhysRevD.47.1563

A kind of topological field theory is proposed as a candidate to describe the global structure of the 2-form Einstein gravity with or without a cosmological constant. Indeed in the former case, we show that a quantum state in the candidate gives an exact solution of the Wheeler-DeWitt equation. The BRST quantization based on the Batalin-Fradkin-Vilkovisky (BFV) formalism is carried out for this topological version of the 2-form Einstein gravity.

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