Fetching the paper…
Reading the bibliography…
We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network states and simplicial geometries.
V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform. 1
1961
Earlier work this paper cites.
V. Bargmann, On the Representations of the Rotation Group
1962
Earlier work this paper cites.
Clarendon, New York, USA, 1992
N. M. J. Woodhouse, Geometric quantization · 1992
Earlier work this paper cites.
B. C. Hall, The Segal-Bargmann coherent state transform for compact Lie groups
1994
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Projective techniques and functional integration for gauge theories
1995
Earlier work this paper cites.
T. Thiemann, Anomaly-free formulation of non-perturbative, four- dimensional Lorentzian quantum gravity
1996
Earlier work this paper cites.
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, and T. Thiemann, Coherent state transforms for spaces of connections
1996
Earlier work this paper cites.
J. C. Baez, An introduction to spin foam models of BF theory and quantum gravity
2000
Earlier work this paper cites.
A. Perez, Spin foam models for quantum gravity
2003
Earlier work this paper cites.
Cambridge University Press, Cambridge, UK, 2004
C. Rovelli, Quantum gravity · 2004
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report
2004
Earlier work this paper cites.
K. Noui and A. Perez, Three dimensional loop quantum gravity: Physical scalar product and spin foam models
2005
Cited alongside, same era.
Cambridge University Press, Cambridge, UK, 2007
T. Thiemann, Modern canonical quantum general relativity · 2007
Cited alongside, same era.
J. Engle, R. Pereira, and C. Rovelli, The loop-quantum-gravity vertex-amplitude
2007
Cited alongside, same era.
E. R. Livine and S. Speziale, A new spinfoam vertex for quantum gravity
2007
Cited alongside, same era.
J. Engle, R. Pereira, and C. Rovelli, Flipped spinfoam vertex and loop gravity
2008
Cited alongside, same era.
L. Freidel and E. R. Livine, The Fine Structure of SU(2) Intertwiners from U(N) Representations
2010
Later among the works it cites.
E. F. Borja, J. Diaz-Polo, I. Garay, and E. R. Livine, Dynamics for a 2-vertex Quantum Gravity Model
2010
Later among the works it cites.
V. Bonzom, Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex
2011
Closest in time.
V. Bonzom and L. Freidel, The Hamiltonian constraint in 3d Riemannian loop quantum gravity
2011
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2008
Cited alongside, same era.
L. Freidel and K. Krasnov, A New Spin Foam Model for 4d Gravity
2008
Cited alongside, same era.
2010
Cited alongside, same era.
M. Dupuis, Spin Foam Models for Quantum Gravity and semi-classical limit
2010
Cited alongside, same era.
L. Freidel and S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space
2010
Cited alongside, same era.
L. Freidel and S. Speziale, From twistors to twisted geometries
2010
Cited alongside, same era.
D. Oriti, Spin foam models of quantum spacetime
Cited in the paper.
2011
Closest in time.
M. Dupuis and E. R. Livine, Revisiting the Simplicity Constraints and Coherent Intertwiners
2011
Closest in time.
M. Dupuis and E. R. Livine, Holomorphic Simplicity Constraints for 4d Spinfoam Models
2011
Closest in time.
E. Bianchi, P. Dona, and S. Speziale, Polyhedra in loop quantum gravity
2011
Closest in time.
2011
Closest in time.