p-Adic AdS/CFT

Steven S. Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg, Przemek Witaszczyk

Research output: Contribution to journalArticlepeer-review

67 Scopus citations


We construct a p-adic analog to AdS/CFT, where an unramified extension of the p-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 p-adic chordal distance and of Wilson loops. Our presentation includes an introduction to p-adic numbers.

Original languageEnglish (US)
Pages (from-to)1019-1059
Number of pages41
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Jun 1 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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