Noncommutative AdS(2)/CFT1 duality: The case of massive and interacting scalar fields

Loading...
Thumbnail Image
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract

We continue the study of the nocommutative ({\mathrm{AdS}}{2}/{\mathrm{CFT}}{1}) correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar field. Both the free and interacting cases are considered. For both cases it is confirmed that to the leading order in noncommutative corrections the 2- and 3-point correlation functions have the form that is assumed by some (yet unspecified) dual conformal field theory ((\mathrm{CFT})). We also argue that there does not exist a map which connects the commutative model to its noncommutative counterpart, and therefore the conformal behavior of the noncommutative correlators is a nontrivial result.

Description
Keywords
FUZZY, HOLOGRAPHY, Astronomy & Astrophysics, Physics, Particles & Fields, Physics
Citation
de Almeida, F. R., Pinzul, A., & Stern, A. (2019). Noncommutative AdS2/CFT1 duality: The case of massive and interacting scalar fields. In Physical Review D (Vol. 100, Issue 8). American Physical Society (APS). https://doi.org/10.1103/physrevd.100.086005