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arxiv: 1703.05445 · v3 · pith:2VAR76S3new · submitted 2017-03-16 · ✦ hep-th · cond-mat.str-el· gr-qc· quant-ph

Tensor network and (p-adic) AdS/CFT

classification ✦ hep-th cond-mat.str-elgr-qcquant-ph
keywords adicnetworktensorcorrespondenceholographicassumingautomaticallyboundary
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We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed $p$-adic AdS/CFT correspondence (a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$). Instead of assuming the $p$-adic AdS/CFT correspondence, we show how important features of AdS/CFT such as the bulk operator reconstruction and the holographic computation of boundary correlators are automatically implemented in this tensor network.

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