Abstract
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 language | English (US) |
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Pages (from-to) | 1655-1678 |
Number of pages | 24 |
Journal | Advances in Theoretical and Mathematical Physics |
Volume | 21 |
Issue number | 7 |
DOIs | |
State | Published - 2017 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy