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In this summary of my talk at Strings 2016, I explain how classical dynamics on an infinite tree graph can be dual to a conformal field theory defined over the $p$-adic numbers.
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S. S. Gubser, J. Knaute, S. Parikh, A. Samberg, and P. Witaszczyk, “ p p -adic AdS/CFT,” Commun. Math. Phys
2017
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1999
Cited alongside, same era.
M. Heydeman, M. Marcolli, I. Saberi, and B. Stoica, “Tensor networks, p p -adic fields, and algebraic curves: arithmetic and the AdS 3 /CFT 2 correspondence,” 1605.07639
Cited in the paper.
S. S. Gubser and S. Parikh, “Geodesic bulk diagrams on the Bruhat-Tits tree,” 1704.01149
Cited in the paper.
S. S. Gubser, C. Jepsen, S. Parikh, and B. Trundy, “O(N) and O(N) and O(N),” 1703.04202
Cited in the paper.
S. S. Gubser, M. Heydeman, C. Jepsen, M. Marcolli, S. Parikh, I. Saberi, B. Stoica, and B. Trundy, “Edge length dynamics on graphs with applications to p p -adic AdS/CFT,” 1612.09580
Cited in the paper.
Y. I. Manin, “Numbers as functions,” 1312.5160
Cited in the paper.