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

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.