On the reconstruction map in JT gravity

          @misc{ scivideos_PIRSA:25060019,
            doi = {10.48660/25060019},
            url = {https://pirsa.org/25060019},
            author = {Akers, Chris},
            keywords = {Quantum Gravity, Quantum Information},
            language = {en},
            title = {On the reconstruction map in JT gravity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {jun},
            note = {PIRSA:25060019 see, \url{https://scivideos.org/pirsa/25060019}}
          }
          

Abstract

A key question in holography is how to reconstruct bulk operators in the holographic dual. It is especially interesting to reconstruct operators inside the black hole interior, but also especially difficult to do explicitly. Recently, an explicit form for the bulk-to-boundary `holographic’ map was proposed in JT gravity, by Iliesiu, Levine, Lin, Maxfield, and Mezei, who also proposed and studied an explicit `reconstruction’ map on operators. In this talk, I will discuss various pros and cons of their reconstruction map, and propose an alternative map with perhaps nicer properties.