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.
Braids and quantum group symmetry in Chern-Simons theory
GUADAGNINI, ENORE;
1990-01-01
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.