Dynamics for holographic codes

          @misc{ scivideos_PIRSA:17040047,
            doi = {10.48660/17040047},
            url = {https://pirsa.org/17040047},
            author = {Osborne, Tobias},
            keywords = {Quantum Matter, Quantum Fields and Strings, Quantum Foundations, Quantum Information},
            language = {en},
            title = {Dynamics for holographic codes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {apr},
            note = {PIRSA:17040047 see, \url{https://scivideos.org/index.php/pirsa/17040047}}
          }
          

Abstract

In this talk I discuss the problem of introducing dynamics for holographic codes. To do this it is necessary to take a continuum limit of the holographic code. As I argue, a convenient kinematical continuum limit space is given by Jones’ semicontinuous limit. Dynamics are then furnished by a unitary representation of a discrete analogue of the conformal group known as Thompson’s group T. I will describe these representations in detail in the simplest case of a discrete AdS geometry modelled by trees. Consequences such as the ER=EPR argument are then realised in this setup. Extensions to more general tessellations with a MERA structure are possible, and will be (very) briefly sketched.