Dynamics for holographic codes


Osborne, T. (2017). Dynamics for holographic codes. Perimeter Institute. https://pirsa.org/17040047


Osborne, Tobias. Dynamics for holographic codes. Perimeter Institute, Apr. 21, 2017, https://pirsa.org/17040047


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

Tobias Osborne Leibniz University Hannover


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.