p-Adic AdS/CFT

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

doi:10.1007/s00220-016-2813-6

Title: p-Adic AdS/CFT

Journal Article · Mon Jan 16 00:00:00 EST 2017 · Communications in Mathematical Physics

DOI:https://doi.org/10.1007/s00220-016-2813-6· OSTI ID:1600654

Gubser, Steven S. ^[1]; Knaute, Johannes ^[2]; Parikh, Sarthak ^[1]; Samberg, Andreas ^[3]; Witaszczyk, Przemek ^[4]

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.

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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

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Cited by: 59 works

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