# Combinatorial quantization of the Hamiltonian Chern-Simons theory I

March 10, 1994

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.

open access link
Commun.Math.Phys. 172 (1995) 317-358

@article{Alekseev:1994pa,
author = "Alekseev, Anton {\relax Yu}. and Grosse, Harald and
Schomerus, Volker",
title = "{Combinatorial quantization of the Hamiltonian
Chern-Simons theory}",
journal = "Commun. Math. Phys.",
volume = "172",
year = "1995",
pages = "317-358",
doi = "10.1007/BF02099431",
eprint = "hep-th/9403066",
archivePrefix = "arXiv",
primaryClass = "hep-th",
reportNumber = "HUTMP-94-B336, ESI-79-1994, UUITP-5-94, UWTHPH-1994-8",
SLACcitation = "%%CITATION = HEP-TH/9403066;%%"
}

Keywords:

*none*