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I will introduce some basic facts about the AdS/CFT correspondance which may be relevant to tensor network models. The group of isometries of Anti de Sitter space is also the group of Lorentzian conformal maps on its "boundary at infinity". Similarly, the isometries of Hyperbolic space or de Sitter space form the Euclidean conformal group. Thinking of path integrals as continuous tensor networks, one can see how the ground state of a quantum field theory in AdS space may be thought of as that of a conformal field theory on its boundary, whose correlators are represented by tree tensor networks. TTNs also arise when computing correlators in MERA, which can be thought of as a discretisation of de Sitter space. Is there a formal relationship between these two pictures?

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Cedric Beny, Hannover
Seminar room 0.02, ETP
Contact: David Gross