The Erwin Schrr Odinger International Institute for Mathematical Physics Combinatorial Quantization of the Hamiltonian Chern-simons Theory Combinatorial Quantization of the Hamiltonian Chern-simons Theory
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چکیده
Motivated by a recent paper of Fock and Rosly 6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which reproduces the results of the continuous theory exactly. The lattice model enjoys the symmetry with respect to a quantum gauge group. Using this fact we construct the algebra of observables of the Hamiltonian Chern-Simons theory equipped with a *-operation and a positive inner product.
منابع مشابه
ar X iv : h ep - t h / 94 03 06 6 v 2 2 3 Ju n 19 94 Combinatorial Quantization of the Hamiltonian Chern - Simons Theory I
Motivated by a recent paper of Fock and Rosly [6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which is expected to reproduce the results of the continuous theory exactly. The lattice model enjoys the symmetry with respect to a quantum gauge group. Using this fact we construct the algebra of observa...
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