P-adic AdS/CFT on subspaces of the Bruhat-Tits tree

Abstract

On two different subspaces of Bruhat-Tits tree, the exact effective actions and two-point functions of deformed CFTs are calculated according to the p-adic version of AdS/CFT. These subspaces are specially chosen such that in the case of $p\equiv3\pmod4$, they can be viewed as a circle and a hyperbola over p-adic numbers when taken to infinities. It is found that two-point functions of CFTs depend on chordal distances of the circle and the hyperbola.