$p$-adic AdS/CFT
High Energy Physics - Theory
2017-02-01 v2
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.
Keywords
Cite
@article{arxiv.1605.01061,
title = {$p$-adic AdS/CFT},
author = {Steven S. Gubser and Johannes Knaute and Sarthak Parikh and Andreas Samberg and Przemek Witaszczyk},
journal= {arXiv preprint arXiv:1605.01061},
year = {2017}
}
Comments
53 pages, 6 figures. v2: Improved discussion of normalizations and chordal distance