Wilson line networks in p-adic AdS/CFT

Author:

Hung Ling-Yan,Li Wei,Melby-Thompson Charles M.

Abstract

Abstract The p-adic AdS/CFT is a holographic duality based on the p-adic number field ℚ p . For a p-adic CFT living on 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 ℚ p . We propose that bulk theory can be formulated as a lattice gauge theory of PGL(2, 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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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