On the q-quantum gravity loop algebra

Abstract

A class of deformations of the q-quantum gravity loop algebra is shown to be incompatible with the combinatorics of Temperley-Lieb recoupling theory with deformation parameter at a root of unity. This incompatibility appears to extend to more general deformation parameters.

v2: text clarified, version to be published

References in corpus (8)

• Lectures on Loop Quantum Gravity
• Loop Quantum Gravity: An Inside View
• Quantum gravity with a positive cosmological constant
• Quantum deformation of quantum gravity
• The geometry of quantum spin networks
• The linearization of the Kodama state
• Wave function of the Universe and Chern-Simons Perturbation Theory
• Embedded graph invariants in Chern-Simons theory

Cited by in corpus (5)

• Observables in Loop Quantum Gravity with a cosmological constant
• Compact phase space, cosmological constant, discrete time
• Quantum hyperbolic geometry in loop quantum gravity with cosmological constant
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Complex Ashtekar variables, the Kodama state and spinfoam gravity