37 citations · 67 across the 3 of their papers we have counts for
7 papers
3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
Marc Geiller, Christophe Goeller, Céline Zwikel
We introduce a new gauge and solution space for three-dimensional gravity. As its name Bondi-Weyl suggests, it leads to non-trivial Weyl charges, and uses Bondi-like coordinates to…
The Quantum Gravity Disk: Discrete Current Algebra
Laurent Freidel, Christophe Goeller, Etera R. Livine
We study the quantization of the corner symmetry algebra of 3d gravity, that is the algebra of observables associated with 1d spatial boundaries. In the continuum field theory, at…
Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
Marc Geiller, Christophe Goeller, Nelson Merino
We show that the phase space of three-dimensional gravity contains two layers of dualities: between diffeomorphisms and a notion of "dual diffeomorphisms" on the one hand, and betw…
Quasi-Local 3D Quantum Gravity : Exact Amplitude and Holography
Christophe Goeller
This thesis is dedicated to the study of quasi-local boundary in quantum gravity in the 3D space-time case. This research takes root in the holographic principle, which conjectures…
Non-Perturbative 3D Quantum Gravity: Quantum Boundary States and Exact Partition Function
Christophe Goeller, Etera R. Livine, Aldo Riello
We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and…
Probing the Shape of Quantum Surfaces: the Quadrupole Moment Operator
Christophe Goeller, Etera R. Livine
The standard toolkit of operators to probe quanta of geometry in loop quantum gravity consists in area and volume operators as well as holonomy operators. New operators have been d…