From twistors to twisted geometries

Abstract

In a previous paper we showed that the phase space of loop quantum gravity on a fixed graph can be parametrized in terms of twisted geometries, quantities describing the intrinsic and extrinsic discrete geometry of a cellular decomposition dual to the graph. Here we unravel the origin of the phase space from a geometric interpretation of twistors.

9 pages

References in corpus (2)

• Area-angle variables for general relativity
• Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality

Cited by in corpus (3)

• Polyhedra in loop quantum gravity
• U(N) tools for Loop Quantum Gravity: The Return of the Spinor
• Coherent states for FLRW space-times in loop quantum gravity