Chern-Simons Theory with Sources and Dynamical Quantum Groups I : Canonical Analysis and Algebraic Structures

Abstract

We study the quantization of Chern-Simons theory with group G coupled to dynamical sources. We first study the dynamics of Chern-Simons sources in the Hamiltonian framework. The gauge group of this system is reduced to the Cartan subgroup of G. We show that the Dirac bracket between the basic dynamical variables can be expressed in term of dynamical r… (More)

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