\(p\)-adic AdS/CFT
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Publication:529630
DOI10.1007/S00220-016-2813-6zbMATH Open1387.83083arXiv1605.01061OpenAlexW3103758373MaRDI QIDQ529630
Author name not available (Why is that?)
Publication date: 19 May 2017
Published in: (Search for Journal in Brave)
Abstract: We construct a -adic analog to AdS/CFT, where an unramified extension of the -adic numbers replaces Euclidean space as the boundary and a version of the Bruhat-Tits tree replaces the bulk. Correlation functions are computed in the simple case of a single massive scalar in the bulk, with results that are strikingly similar to ordinary holographic correlation functions when expressed in terms of local zeta functions. We give some brief discussion of the geometry of -adic chordal distance and of Wilson loops. Our presentation includes an introduction to -adic numbers.
Full work available at URL: https://arxiv.org/abs/1605.01061
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