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Effective field theory on a finite boundary of the Bruhat-Tits tree
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abstract
Based on bulk reconstruction from the finite boundary of the Bruhat-Tits tree, the boundary effective theory is obtained after integrating out fields outside this boundary. According to the $~p$-adic version of Anti-de Sitter/Conformal Field Theory duality, two-point functions of dual theory living on the finite boundary are read out from the effective action. They can be regarded as two-point functions of a deformed conformal field theory over $~p$-adic numbers.
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Cited by 1 Pith paper
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One gravity theory on the two-dimensional p-adic space and conjectures on $p$-adic AdS/CFT
A discrete gravity action on the boundary of a tree representing Q_p^2 is proposed, together with two conjectures on the universality and uniqueness of p-adic AdS/CFT.
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