Holomorphic Lorentzian simplicity constraints

DOI10.1063/1.3692327zbMath1274.83050arXiv1107.5274OpenAlexW3104775917WikidataQ64007774 ScholiaQ64007774MaRDI QIDQ2861781

Simone Speziale, Maïté Dupuis, Etera R. Livine, Laurent Freidel

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5274

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (10)

Conformal structure of FLRW cosmology: spinorial representation and the \(\mathfrak{so} (2, 3)\) algebra of observables ⋮ Boosting Wigner’s nj-symbols ⋮ Bubble networks: framed discrete geometry for quantum gravity ⋮ Hamiltonian flows of Lorentzian polyhedra: Kapovich-Millson phase space and SU(1, 1) intertwiners ⋮ Twisted geometries coherent states for loop quantum gravity ⋮ Loop quantum gravity boundary dynamics and SL(2,C) gauge theory ⋮ Deformations of polyhedra and polygons by the unitary group ⋮ Edge modes of gravity. III: Corner simplicity constraints ⋮ \(\operatorname{SL}(2, \mathbb{C})\) Chern-Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: semiclassical geometry ⋮ The spin-foam approach to quantum gravity

Cites Work

• Unnamed Item
• LQG vertex with finite Immirzi parameter
• Spinor representation for loop quantum gravity
• Revisiting the simplicity constraints and coherent intertwiners
• A new look at loop quantum gravity
• Dynamics for a 2-vertex quantum gravity model
• Holomorphic simplicity constraints for 4D spinfoam models
• Loop-Quantum-Gravity Vertex Amplitude
• A new spin foam model for 4D gravity
• Lorentzian spin foam amplitudes: graphical calculus and asymptotics
• Relativistic spin networks and quantum gravity
• A Lorentzian signature model for quantum general relativity
• so (4) Plebanski action and relativistic spin-foam model
• The fine structure of SU(2) intertwiners from U(N) representations
• U(N) coherent states for loop quantum gravity
• Reconstructing quantum geometry from quantum information: spin networks as harmonic oscillators
• The quantum tetrahedron in 3 and 4 dimensions

This page was built for publication: Holomorphic Lorentzian simplicity constraints