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We define and investigate a quantisation of null hypersurfaces in the context of loop quantum gravity on a fixed graph.
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C. Rovelli and S. Speziale, On the geometry of loop quantum gravity on a graph
2010
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E. Bianchi, P. Dona and S. Speziale, Polyhedra in loop quantum gravity
2011
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W. M. Wieland, Twistorial phase space for complex Ashtekar variables
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M. Dupuis, L. Freidel, E. R. Livine and S. Speziale, Holomorphic Lorentzian Simplicity Constraints
2012
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E. R. Livine, S. Speziale and J. Tambornino, Twistor Networks and Covariant Twisted Geometries
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2010
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L. Freidel and S. Speziale, From twistors to twisted geometries
2010
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L. Freidel, K. Krasnov and E. R. Livine, Holomorphic Factorization for a Quantum Tetrahedron
2010
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Y. Neiman, Causal cells: spacetime polytopes with null hyperfaces
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To appear
M. Langvik and S. Speziale, Twisted geometries, twistors and conformal transformations
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To appear
F. Anzá and S. Speziale, Secondary simplicity constraints and shape matching conditions
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M. P. Reisenberger, The Symplectic 2-form and Poisson bracket of null canonical gravity
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2012
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S. Speziale and W. M. Wieland, The twistorial structure of loop-gravity transition amplitudes
2012
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L. Freidel and J. Hnybida, A Discrete and Coherent Basis of Intertwiners
2014
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A. Perez, The Spin Foam Approach to Quantum Gravity
2019
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