3d Quantum Gravity: from tetrahedra to holography


Livine, E. (2019). 3d Quantum Gravity: from tetrahedra to holography. Perimeter Institute. https://pirsa.org/19030113


Livine, Etera. 3d Quantum Gravity: from tetrahedra to holography. Perimeter Institute, Mar. 27, 2019, https://pirsa.org/19030113


          @misc{ pirsa_PIRSA:19030113,
            doi = {10.48660/19030113},
            url = {https://pirsa.org/19030113},
            author = {Livine, Etera},
            keywords = {Other},
            language = {en},
            title = {3d Quantum Gravity: from tetrahedra to holography},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {mar},
            note = {PIRSA:19030113 see, \url{https://pirsa.org}}

Etera Livine French National Centre for Scientific Research (CNRS)

Talk Type Scientific Series


3d quantum gravity is a beautiful toy-model for 4d quantum gravity: it is much simpler, it does not have local degrees of freedom, yet retains enough complexity and subtlety to provide a non-trivial example of dynamical quantum geometry and open new directions of research in physics and mathematics. I will present the Ponzano-Regge model, introduced in 1968, built from tetrahedra “quantized" as 6j-symbols from the theory of recoupling of spins. I will show how it provides a discrete path integral for 3d quantum gravity, related to topological invariants and loop quantum gravity and other approaches to quantum gravity. It is also a perfect arena to investigate boundary theories and holographic dualities, with a beautiful duality with the 2d Ising model realized through a supersymmetry, and more.