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Chern-Simons Theory, Vassiliev- Kontsevich Invariant, and Spinfoam Quantum Gravity

Nov 23
4:00 pm o'clock to 5:30 pm o'clock
SR 02.729

We construct the q-deformed spinfoam vertex amplitude using Chern- Simons theory on the boundary 3-sphere of the 4-simplex. The rigorous definition involves the construction of Vassiliev-Kontsevich invariant for trivalent knot graph. Under the semiclassical asymptotics, the q-deformed spinfoam amplitude reproduce Regge gravity with cosmological constant at nondegenerate critical configurations.