Editing Spin network (section)

=== Properties ===
A spin network, immersed into a manifold, can be used to define a [[functional (mathematics)|functional]] on the space of [[Connection (mathematics)|connections]] on this manifold. One computes [[holonomy|holonomies]] of the connection along every link (closed path) of the graph, determines representation matrices corresponding to every link, multiplies all matrices and intertwiners together, and contracts indices in a prescribed way. A remarkable feature of the resulting functional is that it is invariant under local [[gauge transformation]]s.