Bulk-Boundary in Spinfoams

          @misc{ scivideos_PIRSA:25060048,
            doi = {10.48660/25060048},
            url = {https://pirsa.org/25060048},
            author = {Livine, Etera},
            keywords = {},
            language = {en},
            title = {Bulk-Boundary in Spinfoams},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {jun},
            note = {PIRSA:25060048 see, \url{https://scivideos.org/index.php/pirsa/25060048}}
          }
          

Abstract

Spinfoams define a path integral for quantum gravity based on topological quantum field theory (TQFT). Following Lee’s early intuitions about the implementation of the holographic principle in the formalism, I will explain how the bulk dynamics arises as a network of boundary theories and draw lessons about the bulk-boundary relations. Diving into the example of 3d quantum gravity, this is illustrated by a beautiful holographic-like duality with the 2d inhomogeneous Ising model, with an underlying emergent supersymmetry, opening an intriguing interplay with the world of statistical physics with an elegant geometric formula for the zeroes of the Ising partition function.