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arXiv · 1907.07298

Non-commutative $AdS_2/CFT_1$ duality: the case of massive and interacting scalar fields

Felipe Rodrigues de Almeida·Aleksandr Pinzul·Allen Stern
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Abstract

We continue the study of the nocommutative $AdS_2 / CFT_1$ 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 $CFT$. We also argue that there does not exist a map which connects the commutative model to its non-commutative counterpart, and therefore the conformal behaviour of the noncommutative correlators is a non-trivial result.

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Felipe Rodrigues de Almeida, Aleksandr Pinzul, Allen Stern. 2019-07-17. Non-commutative $AdS_2/CFT_1$ duality: the case of massive and interacting scalar fields. https://doi.org/10.1103/physrevd.100.086005

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