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.
Effective field theories on subspaces of the Bruhat-Tits tree
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abstract
On two subspaces of the Bruhat-Tits tree, effective actions are calculated. The limits of these effective field theories are found to be the same conformal field theory over p-adic numbers when subspaces are taken to the boundary of the tree. Their relations to the p-adic version of AdS/CFT are also discussed.
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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.