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We develop an Hamiltonian representation of the sl(2,C) algebra on a phase space consisting of N copies of twistors, or bi-spinors.
1915
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E.R. Livine and S. Speziale, A new spinfoam vertex for quantum gravity
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J. Engle, R. Pereira, C. Rovelli, The Loop-quantum-gravity vertex-amplitude
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L. Freidel and K. Krasnov, A New Spin Foam Model for 4d Gravity
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J. Engle, E.R. Livine, R. Pereira and C. Rovelli, LQG vertex with finite Immirzi parameter
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F. Conrady and L. Freidel, On the semiclassical limit of 4d spin foam models
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L. Freidel and E.R. Livine, The Fine Structure of SU(2) Intertwiners from U(N) Representations
2010
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E. Borja, J. Diaz-Polo, I. Garay and E.R. Livine, Dynamics for a 2-vertex Quantum Gravity Model
2010
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C. Rovelli, A new look at loop quantum gravity
2011
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M. Dupuis and E.R. Livine, Revisiting the Constraints and Coherent Intertwiners
2011
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Y. Ding, M. Han and C. Rovelli, Generalized Spinfoams
2011
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2010
Cited alongside, same era.
S. Alexandrov, “The new vertices and canonical quantization,” Phys. Rev. D 82
2010
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L. Freidel and S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space
2010
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L. Freidel and S. Speziale, From twistors to twisted geometries
2010
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M. Dupuis and E.R. Livine, Holomorphic Constraints for 4d Spinfoam Models
Cited in the paper.
Cited in the paper.
M. Dupuis, L. Freidel, E.R. Livine and S. Speziale, SL ( 2 , C ) \mathrm{SL}(2,C) Intertwiners and Simplicity for Spinfoam Models
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E. Bianchi, P. Dona and S. Speziale, Polyhedra in loop quantum gravity
2011
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