53 citations · 472 across the 22 of their papers we have counts for
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gr-qc2014★ 29 cited
Deformed Spinor Networks for Loop Gravity: Towards Hyperbolic Twisted Geometries
Maité Dupuis, Florian Girelli, Etera R. Livine
In the context of a canonical quantization of general relativity, one can deform the loop gravity phase space on a graph by replacing the T*SU(2) phase space attached to each edge…
gr-qc2014★ 38 cited
Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
Valentin Bonzom, Maité Dupuis, Florian Girelli
3D Loop Quantum Gravity with a vanishing cosmological constant can be related to the quantization of the BF theory discretized on a lattice. At the classical level…
gr-qc2014★ 17 cited
Deformed phase space for 3d loop gravity and hyperbolic discrete geometries
Valentin Bonzom, Maité Dupuis, Florian Girelli +1
We revisit the loop gravity space phase for 3D Riemannian gravity by algebraically constructing the phase space as the Heisenberg double of t…