The monodromy matrices defined by the quantum holonomies acting on the physical state space of the Chern-Simons theory are derived. Up to equivalence, these matrices are reconstructed by means of a matrix-valued gauge connection satisfying the Gauss law. In terms of this connection, the relation of the Chern-Simons model with conformal field theory and quantum group is established. The braid group representation realized on the physical states is obtained. The quantum group symmetry appears as a hidden symmetry of the quantized theory.
|Autori:||Guadagnini, Enore; Martellini, M; Mintchev, M.|
|Titolo:||Braids and quantum group symmetry in Chern-Simons theory|
|Anno del prodotto:||1990|
|Digital Object Identifier (DOI):||10.1016/0550-3213(90)90443-H|
|Appare nelle tipologie:||1.1 Articolo in rivista|