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4 papers · 2 filters
Bubble Networks: Framed Discrete Geometry for Quantum Gravity
Laurent Freidel, Etera R. Livine
In the context of canonical quantum gravity in 3+1 dimensions, we introduce a new notion of bubble network that represents discrete 3d space geometries. These are natural extension…
New Avenues for Einstein's Gravity: from Penrose's Twistors to Hitchin's Three-Forms
Yannick Herfray
In this thesis we take Einstein theory in dimension four seriously, and explore the special aspects of gravity in this number of dimension. Among the many surprising features in di…
Polymer Quantum Cosmology: Lifting quantization ambiguities using a conformal symmetry
Jibril Ben Achour, Etera R. Livine
In this letter, we stress that the simplest cosmological model consisting in a massless scalar field minimally coupled to homogeneous and isotropic gravity has an in-built $\SL(2,\…
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…