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SU (3) Chern-Simons field theory in three-manifolds |
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| Authors: | E. Guadagnini L. Pilo |
| Affiliation: | Dipartimento di Fisica dell'Università di Pisa, Instituto Nazionale di Fisica Nucleare, Sezione di Pisa, Piazza Torricelli, 2, 56100, Pisa, Italy |
| Abstract: | We present the solution of the non-Abelian SU (3) Chern-Simons field theory defined in a generic three-manifold which is closed, connected and orientable. The surgery rules, which permit us to solve the theory, are derived and several examples of vacuum expectation values of Wilson line operators are computed. The three-manifold invariant associated with the non-Abelian SU (3) Chern-Simons model is defined and its values are computed for various three-manifolds. |
| Keywords: | SU (3) Chern-Simons field theory Three-manifolds |
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