Abstract
The p-adic AdS/CFT is a holographic duality based on the p-adic number field ℚp. For a p-adic CFT living on ℚp and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of ℚp. We propose that bulk theory can be formulated as a lattice gauge theory of PGL(2, ℚp) on the Bruhat-Tits tree, and show that the Wilson line networks in this lattice gauge theory can reproduce all the correlation functions of the boundary p-adic CFT.
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Hung, LY., Li, W. & Melby-Thompson, C.M. Wilson line networks in p-adic AdS/CFT. J. High Energ. Phys. 2019, 118 (2019). https://doi.org/10.1007/JHEP05(2019)118
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DOI: https://doi.org/10.1007/JHEP05(2019)118