The solution of the SU(2) quantum Chern-Simons field theory defined on a generic three-manifold, which is closed connected and orientable, is presented. The vacuum expectation values of the observables, associated with framed links in the manifold, are computed by means of the operator surgery method. The field theory operator which represents Dehn surgery is constructed and the three-manifold invariant naturally associated with the Chern-Simons theory is defined. Several examples of three-manifolds are considered and the corresponding values of the invariant are computed.
Surgery on Three-Manifolds and Quantum Field Theory
GUADAGNINI, ENORE
1992-01-01
Abstract
The solution of the SU(2) quantum Chern-Simons field theory defined on a generic three-manifold, which is closed connected and orientable, is presented. The vacuum expectation values of the observables, associated with framed links in the manifold, are computed by means of the operator surgery method. The field theory operator which represents Dehn surgery is constructed and the three-manifold invariant naturally associated with the Chern-Simons theory is defined. Several examples of three-manifolds are considered and the corresponding values of the invariant are computed.File in questo prodotto:
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