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. 
Diego C.M. Mendon\c{c}a and Olivier Piguet
gr-qc hep-th