Noncommutative AdS(2)/CFT1 duality: The case of massless scalar fields

dc.contributor.authorPinzul, A.
dc.contributor.authorStern, A.
dc.contributor.otherUniversidade de Brasilia
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2019-07-23T19:31:35Z
dc.date.available2019-07-23T19:31:35Z
dc.date.issued2017-09-18
dc.description.abstractWe show how to construct correlators for the CFT1 which is dual to noncommutative AdS(2) (ncAdS(2)). We do it explicitly for the example of the massless scalar field on Euclidean ncAdS(2). ncAdS(2) is the quantization of AdS(2) that preserves all the isometries. It is described in terms of the unitary irreducible representations, more specifically discrete series representations, of so(2, 1). We write down symmetric differential representations for the discrete series and then map them to functions on the Moyal-Weyl plane. The Moyal-Weyl plane has a large distance limit which can be identified with the boundary of ncAdS(2). Killing vectors can be constructed on ncAdS(2) which reduce to the AdS(2) Killing vectors near the boundary. We, therefore, conclude that ncAdS(2) is asymptotically AdS(2), and so the AdS/CFT correspondence should apply. For the example of the massless scalar field on Euclidean ncAdS(2), the on-shell action, and resulting two-point function for the boundary theory, are computed to leading order in the noncommutativity parameter. The computation is nontrivial because nonlocal interactions appear in the Moyal-Weyl description. Nevertheless, the result is remarkably simple and agrees with that of the commutative scalar field theory, up to a rescaling.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationPinzul, A., Stern, A. (2017): Noncommutative AdS₂/CFT₁ Duality: The Case of Massless Scalar Fields. Physical Review D, 96(6). DOI: https://doi.org/10.1103/PhysRevD.96.066019
dc.identifier.doi10.1103/PhysRevD.96.066019
dc.identifier.orcidhttps://orcid.org/0000-0002-5102-9407
dc.identifier.urihttp://ir.ua.edu/handle/123456789/6027
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.subjectFUZZY SPHERE
dc.subjectSPACE
dc.subjectGEOMETRY
dc.subjectAstronomy & Astrophysics
dc.subjectPhysics, Particles & Fields
dc.subjectPhysics
dc.titleNoncommutative AdS(2)/CFT1 duality: The case of massless scalar fieldsen_US
dc.typetext
dc.typeArticle
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