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SU(2) gauge symmetry in gravity phase space (1111.4369v1)

Published 18 Nov 2011 in gr-qc

Abstract: The Hamiltonian formulation of the Holst action in vacuum and in the presence of matter fields is analyzed in a generic local Lorentz frame. It is elucidated how the SU(2) gauge symmetry is inferred by reducing the set of constraints to a first-class one. The consequences of the proposed approach for Loop Quantum Gravity and Spin Foam models are discussed.

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