A p-adic version of AdS/CFT

Steven S. Gubser

Research output: Contribution to journalArticle

4 Scopus citations


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. An informal introduction to p-adic numbers is followed by a presentation of results on holographic three- and four-point functions. The simplicity of p-adic field theories and their similarity to ordinary field theories are illustrated through comparisons of holographic correlators and computations of simple loop diagrams on the field theory side. I close with a discussion of challenges and directions for future work.

Original languageEnglish (US)
Pages (from-to)1655-1678
Number of pages24
JournalAdvances in Theoretical and Mathematical Physics
Issue number7
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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