Fetching the paper…
Reading the bibliography…
In the context of loop quantum gravity, quantum states of geometry are mathematically defined as spin networks living on graphs embedded in the canonical space-like hypersurface.
Y. Neiman, Polyhedra in spacetime from null vectors
1982
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Projective Techniques and Functional Integration
1995
Earlier work this paper cites.
M. Gaul and C. Rovelli, Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance
2000
Earlier work this paper cites.
J. Samuel, Is Barbero’s Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?
2000
Earlier work this paper cites.
E.R. Livine, Projected Spin Networks for Lorentz connection: Linking Spin Foams and Loop Gravity
2002
Earlier work this paper cites.
L. Freidel and E.R. Livine, Spin Networks for Non-Compact Groups
2003
Earlier work this paper cites.
F. Girelli and E.R. Livine, Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators
2005
Earlier work this paper cites.
C. Rovelli, Quantum Gravity
2007
Earlier work this paper cites.
T. Thiemann, Modern Canonical Quantum General Relativity
2008
Earlier work this paper cites.
E.R. Livine and D. Terno, Bulk Entropy in Loop Quantum Gravity
2008
Earlier work this paper cites.
E.R. Livine and D. Terno, The entropic boundary law in BF theory
2009
Earlier work this paper cites.
F. Conrady and L. Freidel, Quantum geometry from phase space reduction
2009
Earlier work this paper cites.
L. Freidel and S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space
2010
Earlier work this paper cites.
L. Freidel and E.R. Livine, The Fine Structure of SU(2) Intertwiners from U(N) Representations
2010
Cited alongside, same era.
2010
Cited alongside, same era.
E.F. Borja, J. Diaz-Polo, I.Garay and E.R. Livine, Dynamics for a 2-vertex Quantum Gravity Model
2010
Cited alongside, same era.
V. Bonzom, E.R Livine and S. Speziale, Recurrence relations for spin foam vertices
2010
Cited alongside, same era.
L. Freidel and S. Speziale, From twistors to twisted geometries
2010
Cited alongside, same era.
V. Bonzom, Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex
2011
Later among the works it cites.
E.R. Livine and J. Tambornino, Loop gravity in terms of spinors
2011
Later among the works it cites.
E. Bianchi, P. Dona and S. Speziale, Polyhedra in loop quantum gravity
2011
Later among the works it cites.
S. Carlip, Effective Conformal Descriptions of Black Hole Entropy
2011
Later among the works it cites.
E.R. Livine and J. Tambornino, Spinor Representation for Loop Quantum Gravity
2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Dupuis and E.R. Livine, Lifting SU(2) Spin Networks to Projected Spin Networks
2010
Cited alongside, same era.
2011
Cited alongside, same era.
M. Dupuis and E.R. Livine, Revisiting the Simplicity Constraints and Coherent Intertwiners
2011
Cited alongside, same era.
M. Dupuis and E.R. Livine, Holomorphic Simplicity Constraints for 4d Spinfoam Models
2011
Cited alongside, same era.
M. Dupuis and E.R. Livine, Holomorphic Simplicity Constraints for 4d Riemannian Spinfoam Models
2011
Cited alongside, same era.
2011
Cited alongside, same era.
V. Bonzom and L. Freidel, The Hamiltonian constraint in 3d Riemannian loop quantum gravity
2011
Cited alongside, same era.
Later among the works it cites.
R. Kaul, Entropy of Quantum Black Holes
2012
Later among the works it cites.
M. Dupuis, L. Freidel, E.R. Livine and S. Speziale, Holomorphic Lorentzian Simplicity Constraints
2012
Later among the works it cites.
E.R. Livine, S. Speziale and J. Tambornino, Twistor Networks and Covariant Twisted Geometries
2012
Later among the works it cites.
T. Koslowski and H. Sahlmann, Loop Quantum Gravity Vacuum with Nondegenerate Geometry
2012
Later among the works it cites.
E.R. Livine and J. Tambornino, Holonomy Operator and Quantization Ambiguities on Spinor Space
2013
Closest in time.
2013
Closest in time.