2019/07/17 by Felipe Rodrigues de Almeida, A. Pinzul, Aleksandr Pinzul +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Commutative property #Conformal map #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Scalar (mathematics) #Scalar field #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.100.086005
published as Phys. Rev. D 100, 086005 (2019) · 34 pages
arxiv created 2019/07/17 · openalex created_date 2019/07/23 · openalex publication_date 2019/10/10 · arxiv updated 2019/10/16 · openalex updated_date 2026/08/05
We continue the study of the nocommutative AdS2/CFT1 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 (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.