2D manifold-independent spinfoam theory

  title={2D manifold-independent spinfoam theory},
  author={Etera R. Livine and Alejandro Perez and Carlo Rovelli},
  journal={Classical and Quantum Gravity},
A number of background-independent quantization procedures have recently been employed in 4D nonperturbative quantum gravity. We investigate and illustrate these techniques and their relation in the context of a simple 2D topological theory. We discuss canonical quantization, loop or spin network states, path integral quantization over a discretization of the manifold, spin foam formulation and the fully background-independent definition of the theory using an auxiliary field theory on a group… 

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