Combinatorial quantization of the Hamiltonian Chern-Simons theory I
High Energy Physics - Theory
2009-10-28 v2 Quantum Algebra
Abstract
Motivated by a recent paper of Fock and Rosly \cite{FoRo} 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 observables of the Hamiltonian Chern-Simons theory equipped with a *-operation and a positive inner product.
Keywords
Cite
@article{arxiv.hep-th/9403066,
title = {Combinatorial quantization of the Hamiltonian Chern-Simons theory I},
author = {A. Yu. Alekseev and H. Grosse and V. Schomerus},
journal= {arXiv preprint arXiv:hep-th/9403066},
year = {2009}
}
Comments
49 pages. Some minor corrections, discussion of positivity improved, a number of remarks and a reference added)