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In the tetrad formulation of gravity, the so-called simplicity constraints play a central role.
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A. A. Kirillov, Lectures on the Orbit Method , vol. 64 of Graduate Studies in Mathematics · 2004
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B. Dittrich and J. P. Ryan, Phase space descriptions for simplicial 4d geometries , Class. Quant. Grav. 28
2011
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E. Bianchi and W. Wieland, Horizon energy as the boost boundary term in general relativity and loop gravity , 2012
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W. M. Wieland, Twistorial phase space for complex Ashtekar variables , Class. Quant. Grav. 29
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E. R. Livine, S. Speziale and J. Tambornino, Twistor networks and covariant twisted geometries , Physical Review D 85
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2013
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N. Bodendorfer, T. Thiemann and A. Thurn, New variables for classical and quantum gravity in all dimensions: II. Lagrangian analysis , Class. Quant. Grav. 30
2013
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2013
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2013
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2014
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2014
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W. M. Wieland, A new action for simplicial gravity in four dimensions , Class. Quant. Grav. 32
2015
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2015
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2015
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W. Donnelly and L. Freidel, Local subsystems in gauge theory and gravity , JHEP 09
2016
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2017
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2017
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2017
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L. Freidel, A. Perez and D. Pranzetti, Loop gravity string , Phys. Rev. D95
2017
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L. Freidel and A. Perez, Quantum gravity at the corner , Universe 4
2018
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M. Geiller, Lorentz-diffeomorphism edge modes in 3d gravity , JHEP 02
2018
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A. Perez, The Spin Foam Approach to Quantum Gravity , Living Rev. Rel. 16
2019
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2019
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L. Freidel, F. Girelli and B. Shoshany, 2+1D Loop Quantum Gravity on the Edge , Phys. Rev. D 99
2019
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