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BRST quantization of Matrix Chern-Simons Theory
Etera R. Livine, Lee Smolin
The BRST quantization of matrix Chern-Simons theory is carried out, the symmetries of the theory are analysed and used to constrain the form of the effective action.
Implementing causality in the spin foam quantum geometry
Etera R. Livine, Daniele Oriti
We analyse the classical and quantum geometry of the Barrett-Crane spin foam model for four dimensional quantum gravity, explaining why it has to be considering as a covariant real…
SU(2) Loop Quantum Gravity seen from Covariant Theory
Sergei Alexandrov, Etera R. Livine
Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (``simpli…
Projected Spin Networks for Lorentz connection: Linking Spin Foams and Loop Gravity
Etera R Livine
In the search for a covariant formulation for Loop Quantum Gravity, spin foams have arised as the corresponding discrete space-time structure and, among the different models, the B…
Spin Networks for Non-Compact Groups
Laurent Freidel, Etera R. Livine
Spin networks are natural generalization of Wilson loops functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that the…