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Non-Archimedean Holography

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Matilde Marcolli
California Institute of Technology
Mon, 2017-06-19 16:30 - 17:30
MPIM Lecture Hall

We propose a discretization of the AdS/CFT correspondence with bulk space the $p$-adic Bruhat-Tits trees.
In addition to a consistent description of field theory on the boundary and gravity on the bulk, this approach
allows for a natural interpretation of the more recent viewpoint on holography, where bulk geometry emerges
from quantum entanglement on the boundary, in terms of a construction of holographic classical and quantum
codes on the Bruhat-Tits trees.

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