Wilson line networks in \(p\)-adic AdS/CFT

DOI10.1007/JHEP05(2019)118zbMATH Open1416.81156arXiv1812.06059WikidataQ127852638 ScholiaQ127852638MaRDI QIDQ2315740

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Publication date: 25 July 2019

Published in: (Search for Journal in Brave)

Abstract: The $p$-adic AdS/CFT is a holographic duality based on the $p$-adic number field $mathbb{Q}_p$. For a $p$-adic CFT living on $mathbb{Q}_p$ and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of $mathbb{Q}_p$. We propose that bulk theory can be formulated as a lattice gauge theory of PGL$(2,mathbb{Q}_p)$ on the Bruhat-Tits tree, and show that the Wilson line networks in this lattice gauge theory can reproduce all the correlation functions of the boundary $p$-adic CFT.

Full work available at URL: https://arxiv.org/abs/1812.06059

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