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

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American Physical Society

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.

FUZZY, HOLOGRAPHY, Astronomy & Astrophysics, Physics, Particles & Fields, Physics
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).