Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields

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dc.contributor.authorBonezzi, Roberto
dc.contributor.authorBoulanger, Nicolas
dc.contributor.authorDe Filippi, David
dc.contributor.authorSundell, Per
dc.date.accessioned2023-11-06T14:24:09Z
dc.date.available2023-11-06T14:24:09Z
dc.date.issued2017-11
dc.descriptionIndexación: Scopuses
dc.description.abstractWe first prove that, in Vasiliev's theory, the zero-form charges studied in Sezgin E and Sundell P 2011 (arXiv:1103.2360 [hep-th]) and Colombo N and Sundell P 20 (arXiv:1208.3880 [hep-th]) are twisted open Wilson lines in the noncommutative Z space. This is shown by mapping Vasiliev's higher-spin model on noncommutative Yang-Mills theory. We then prove that, prior to Bose-symmetrising, the cyclically-symmetric higher-spin invariants given by the leading order of these n-point zero-form charges are equal to corresponding cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the higher spin gravity side, our computation reproduces the results of Didenko V and Skvortsov E 2013 J. High Energy Phys. JHEP04(2013)158 using an alternative method amenable to the computation of subleading corrections obtained by perturbation theory in normal order. On the free CFT side, our proof involves the explicit computation of the separate cyclic building blocks of the correlation functions of n conserved currents in arbitrary dimension using polarization vectors, which is an original result. It is shown to agree, for d = 3, with the results obtained in Gelfond O A and Vasiliev M A 2013 Nucl. Phys. B 876 871-917 in various dimensions and where polarization spinors were used. © 2017 IOP Publishing Ltd.es
dc.description.urihttps://iopscience-iop-org.recursosbiblioteca.unab.cl/article/10.1088/1751-8121/aa8efa
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical Volume 50, Issue 471 November 2017 Article number 475401es
dc.identifier.doi10.1088/1751-8121/aa8efa
dc.identifier.issn1751-8113
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/53838
dc.language.isoenes
dc.publisherInstitute of Physics Publishinges
dc.rights.licenseCC BY 3.0 CL DEED
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/cl/deed.es
dc.subjectconformal field theoryes
dc.subjecthigher-spin gauge theoryes
dc.subjectnon-commutative field theoryes
dc.titleNoncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fieldses
dc.typeArtículoes
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