München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quanteninformation und AdS/CFT

MP 4.1: Invited Talk

Tuesday, March 19, 2019, 11:00–11:40, HS 23

Dynamics and fields for holographic codes — •Tobias Osborne — Institut für Theoretische Physik, Appelstr. 2, 30167 Hannover

I describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill as quantum-information inspired toy models of the AdS/CFT correspondence. This task requires the definition of a continuous limit of the kinematical Hilbert space of a finite which may be achieved via the semicontinuous limit of Jones. Dynamics is then introduced by building a unitary representation of a group known as Thompson's group T, which is a discretised analogy of the conformal group conf(R^{1,1}). Field operators may be defined for the boundary theory yielding a theory with discrete scaling symmetry.