PIRSA:11120047 Scientific Series Quantum Gravity

DOI10.48660/11120047

Series: 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}}
}

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.

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