Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual

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dc.contributor.authorDiaz, Felipe
dc.contributor.authorLazeolla, Carlo
dc.contributor.authorSundell, Per
dc.date.accessioned2024-12-10T18:23:32Z
dc.date.available2024-12-10T18:23:32Z
dc.date.issued2024-10
dc.descriptionIndexación: Scopus.
dc.description.abstractThis paper completes the analysis initiated in the companion work arXiv:2403.02283 — referred to as Paper I — by showing how Vasiliev’s 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured conformal HSG, or CCHSG) emerge as consistent reductions of a common parent model. The latter is a Frobenius-Chern-Simons model with superconnection valued in a fractional-spin extension of Vasiliev’s higher-spin algebra, and was defined and studied in Paper I. Here, we i) realize HSG as a subcase of a more general 4D reduction, describing HSG coupled to coloured, fractional-spin matter, which we refer to as 4D fractional-spin gravity; ii) study the CCHSG model, in particular exhibiting the crucial role played by novel colour gauge fields in coupling conformal matter to conformal HSG, thereby completing the models due to Vasiliev and Nilsson; iii) extract conformal currents and composite coloured sources in an expansion of the CCHSG model around 3D Minkowskian leaves; and iv) compare our results with Vasiliev’s holography proposal of arXiv:1203.5554. The common origin of HSG and CCHSG, besides relating the two models directly, is the starting point for establishing the holographic correspondence between the two models via overlap conditions, to be presented separately.
dc.description.urihttps://www-scopus-com.recursosbiblioteca.unab.cl/record/display.uri?eid=2-s2.0-85206239784&origin=resultslist&sort=plf-f&src=s&sid=5c113630fb7a8e96da2a475f933917ba&sot=aff&sdt=cl&cluster=scosubjabbr%2C%22PHYS%22%2Ct%2C%22EART%22%2Ct%2C%22CHEM%22%2Ct%2C%22ENGI%22%2Ct%2C%22MATE%22%2Ct%2Bscosubtype%2C%22ar%22%2Ct%2Bscofreetoread%2C%22all%22%2Ct&s=AF-ID%2860002636%29+AND+SUBJAREA%28PHYS%29&sl=34&sessionSearchId=5c113630fb7a8e96da2a475f933917ba&relpos=23
dc.identifier.citationJournal of High Energy Physics Open Access Volume 2024, Issue 10 October 2024 Article number 66
dc.identifier.doi10.1007/JHEP10(2024)066
dc.identifier.issn10298479
dc.identifier.urihttps://repositorio.unab.cl/handle/ria/62507
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.rights.licenseCC BY 4.0 Attribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAdS-CFT Correspondence
dc.subjectHigher Spin Gravity
dc.subjectHigher Spin Symmetry
dc.titleFractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual
dc.typeArtículo
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