布鲁哈特-提茨树子空间上的 P-adic AdS/CFT

arXiv - PHYS - Mathematical Physics Pub Date : 2024-02-06 DOI:arxiv-2402.03730

Feng Qu

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摘要

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

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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arXiv - PHYS - Mathematical Physics

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