385 citations · 2.2k across the 54 of their papers we have counts for
21 papers · 1 filter
Spinor Representation of the Hamiltonian Constraint in 3D LQG with a Non-zero Cosmological Constant
Valentin Bonzom, Maïté Dupuis, Qiaoyin Pan
We develop in a companion article the kinematics of three-dimensional loop quantum gravity in Euclidean signature and with a negative cosmological constant, focusing in particular…
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…
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…
Bubble divergences and gauge symmetries in spin foams
Valentin Bonzom, Bianca Dittrich
Spin foams are candidate state-sum models for transition amplitudes in quantum gravity. An active research subject is to identify the possible divergences of spin foam models, or a…
Dirac's discrete hypersurface deformation algebras
Valentin Bonzom, Bianca Dittrich
The diffeomorphism symmetry of general relativity leads in the canonical formulation to constraints, which encode the dynamics of the theory. These constraints satisfy a complicate…
Generating Functions for Coherent Intertwiners
Valentin Bonzom, Etera R. Livine
We study generating functions for the scalar products of SU(2) coherent intertwiners, which can be interpreted as coherent spin network evaluations on a 2-vertex graph. We show tha…