PIRSA:11120047

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

Han, M. (2011). Chern-Simons Theory, Vassiliev- Kontsevich Invariant, and Spinfoam Quantum Gravity. Perimeter Institute. https://pirsa.org/11120047

Han, Muxin. Chern-Simons Theory, Vassiliev- Kontsevich Invariant, and Spinfoam Quantum Gravity. Perimeter Institute, Dec. 01, 2011, https://pirsa.org/11120047 

          @misc{ pirsa_PIRSA:11120047,
            doi = {10.48660/11120047},
            url = {https://pirsa.org/11120047},
            author = {Han, Muxin},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Chern-Simons Theory, Vassiliev- Kontsevich Invariant, and Spinfoam Quantum Gravity},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {dec},
            note = {PIRSA:11120047 see, \url{https://pirsa.org}}
          }

Muxin Han Florida Atlantic University

Talk numberPIRSA:11120047
DOI10.48660/11120047
Collection
Talk Type Scientific Series
Subject

Abstract

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.