A note on the N=2 super-W3 holographic dictionary

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dc.contributor.authorCastro, Alejandra
dc.contributor.authorFaraggi, Alberto
dc.contributor.authorOsorio, Israel
dc.date.accessioned2025-01-23T19:46:15Z
dc.date.available2025-01-23T19:46:15Z
dc.date.issued2020
dc.description.abstractThis is a long-overdue companion paper to [1]. We study the relation between sl(3|2) Chern-Simons supergravity on AdS(3) and two-dimensional CFT's with N = 2 super-W3 symmetry. Specifically, we carry out a complete analysis of asymptotic symmetries in a basis that makes the superconformal structure transparent, allowing us to establish the precise dictionary between currents and transformation parameters in the bulk and their boundary counterparts. We also discuss the incorporation of sources and display in full detail the corresponding holographic Ward identities. By imposing suitable hermiticity conditions on the CFT currents, we identify the superalgebra su(2, 1|1, 1) as the appropriate real form of sl(3|2) in Lorentzian signature. We take the opportunity to review some of the properties of the N = 2 super-W3 conformal algebra, including its multiplet structure, OPE's and spectral flow invariance, correcting some minor typos present in the literature.
dc.fuente.origenWOS
dc.identifier.doi10.1007/JHEP12(2020)177
dc.identifier.issn1029-8479
dc.identifier.urihttps://doi.org/10.1007/JHEP12(2020)177
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/100282
dc.identifier.wosidWOS:000603653400001
dc.issue.numero12
dc.language.isoen
dc.revistaJournal of high energy physics
dc.rightsacceso restringido
dc.subjectAdS-CFT Correspondence
dc.subjectConformal and W Symmetry
dc.subjectExtended Super- symmetry
dc.subjectHigher Spin Gravity
dc.titleA note on the N=2 super-W3 holographic dictionary
dc.typeartículo
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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