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Loop quantization of a 3D Abelian BF model with sigma-model matter

The main goal of this work is to explore the symmetries and develop the dynamics associated to a 3D Abelian BF model coupled to scalar fields submitted to a sigma model like constraint, at the classical and quantum levels. We apply to the present model the techniques of Loop Quantum Gravity, construct its physical Hilbert space and its observables.

preprint2014arXivOpen access
Diego C. M. MendonçaOlivier Piguet
gr-qchep-th
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Diego C. M. MendonçaOlivier Piguet

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