Wilson line networks in p-adic AdS/CFT

摘要

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