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

Feng Qu
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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.
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布鲁哈特-提茨树子空间上的 P-adic AdS/CFT
在布鲁哈特-提茨树的两个不同子空间上,根据 AdS/CFT 的 p-adicversion 计算了变形 CFT 的精确有效作用和两点函数。这些子空间被特别选择为:在$p\equiv3\pmod4$的情况下,当取到无穷大时,它们可以被看成是p数上的一个圆和一个双曲线。研究发现,CFT 的两点函数取决于圆和双曲线的弦距。
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