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We describe the canonical phase space of asymptotically flat gravity in Ashtekar-Barbero variables.
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G. Immirzi, “Real and complex connections for canonical gravity,” Class. Quant. Grav. 14
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M. Campiglia, M. Varadarajan, “A quantum kinematics for asymptotically flat spacetimes”
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2004
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T. Thiemann, “Modern canonical quantum general relativity, Cambridge, UK: Cambridge Univ. Pr. (2007) 819 p
2007
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2009
Later among the works it cites.
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