Quantização de laços do modelo BF acoplado a matéria topológica em 1+1 dimensões

Abstract

The aim of the present work is the loop quantization of the BF model coupled to topological matter in 1+1 dimensions. In order to do this, we introduce the main concepts of the pure BF model, by beginning with the hamiltonian formalism, canonical quantization for constrained systems proposed by Dirac and loop quantization methods. We then apply this methodology to the coupled model, exploiting a rigid supersymmetry contained in it, which guides us for a suitable choice of variables for the quantization