We study the properties of the gauge invariant observables of the three-dimensional Chern-Simons field theory; it is shown that the algebra structure determined by the observables is isomorphic with the fusion rules of two-dimensional conformal theories. In the colour state space of the link components, a projective representation of the modular group is defined. The relations satisfied by the S matrix of the conformal models admit an interpretation in terms of three-dimensional topology; we describe the topological origin of these relations.
Autori interni: | |
Autori: | Guadagnini, Enore; Pilo, L. |
Titolo: | Three-dimensional topology and Verlinde formulas |
Anno del prodotto: | 1995 |
Digital Object Identifier (DOI): | 10.1016/0550-3213(94)00444-J |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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