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20022023
most citedQuantum deformation of two four-dimensional spin foam models

98 citations · 717 across the 39 of their papers we have counts for

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gr-qc2013★ 2 cited

Recovering the geometry of a flat spacetime from background radiation

Francesco Bonsante, Catherine Meusburger, Jean-Marc Schlenker

We consider globally hyperbolic flat spacetimes in 2+1 and 3+1 dimensions, in which a uniform light signal is emitted on the -level surface of the cosmological time for …

gr-qc2012

Gauge fixing in (2+1)-gravity with vanishing cosmological constant

Catherine Meusburger, Torsten Schönfeld

We apply Dirac's gauge fixing procedure to (2+1)-gravity with vanishing cosmological constant. For general gauge fixing conditions based on two point particles, this yields explici…

gr-qc2011

q-Deformation of Lorentzian spin foam models

Winston J. Fairbairn, Catherine Meusburger

We construct and analyse a quantum deformation of the Lorentzian EPRL model. The model is based on the representation theory of the quantum Lorentz group with real deformation para…

gr-qc2010★ 98 cited

Quantum deformation of two four-dimensional spin foam models

Winston J. Fairbairn, Catherine Meusburger

We construct the q-deformed version of two four-dimensional spin foam models, the Euclidean and Lorentzian versions of the EPRL model. The q-deformed models are based on the repres…

gr-qc2010★ 8 cited

Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry

Catherine Meusburger, Torsten Schönfeld

We consider (2+1)-gravity with vanishing cosmological constant as a constrained dynamical system. By applying Dirac's gauge fixing procedure, we implement the constraints and deter…

gr-qc2010★ 14 cited

Combinatorial quantisation of the Euclidean torus universe

C. Meusburger, K. Noui

We quantise the Euclidean torus universe via a combinatorial quantisation formalism based on its formulation as a Chern-Simons gauge theory and on the representation theory of the…