p-Adic AdS/CFT
Journal Article
·
· Communications in Mathematical Physics
- Princeton Univ., NJ (United States)
- Dresden Univ. of Technology (Germany)
- Heidelberg Univ. (Germany); GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)
- Jagiellonian Univ., Krakow (Poland)
Here, 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. Furthermore, 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.
- Research Organization:
- Princeton Univ., NJ (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0007968; FG02-91ER40671
- OSTI ID:
- 1600654
- Journal Information:
- Communications in Mathematical Physics, Vol. 352, Issue 3; ISSN 0010-3616
- Publisher:
- SpringerCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 59 works
Citation information provided by
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