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Noncommutative AdS2/CFT1 duality: The case of massive and interacting scalar fields

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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… Click to show full abstract

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.

Keywords: ads2 cft1; interacting; case massive

Journal Title: Physical Review D
Year Published: 2019

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