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arXiv · 1703.05445

Tensor network and ($p$-adic) AdS/CFT

Arpan Bhattacharyya·Ling-Yan Hung·Yang Lei·Wei Li
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Abstract

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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Arpan Bhattacharyya, Ling-Yan Hung, Yang Lei, Wei Li. 2017-03-16. Tensor network and ($p$-adic) AdS/CFT. https://doi.org/10.1007/jhep01(2018)139

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