Towards general super Casimir equations for 4D N= 1 SCFTs

dc.contributor.authorRamĂ­rez, Israel A.
dc.date.accessioned2023-06-06T15:16:59Z
dc.date.available2023-06-06T15:16:59Z
dc.date.issued2019-03-01
dc.descriptionIndexaciĂłn Scopuses
dc.description.abstractApplying the Casimir operator to four-point functions in CFTs allows us to find the conformal blocks for any external operators. In this work, we initiate the program to find the superconformal blocks, using the super Casimir operator, for 4DN= 1 SCFTs. We begin by finding the most general four-point function with zero U(1) R -charge, including all the possible nilpotent structures allowed by the superconformal algebra. We then study particular cases where some of the operators satisfy shortening conditions. Finally, we obtain the super Casimir equations for four point-functions which contain a chiral and an anti-chiral field. We solve the super Casimir equations by writing the superconformal blocks as a sum of several conformal blocks.es
dc.identifier.citationJournal of High Energy Physics Volume 2019, Issue 31 March 2019 Article number 47es
dc.identifier.doi10.1007/JHEP03(2019)047en
dc.identifier.issn1126-6708
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/50367
dc.language.isoenes
dc.publisherJournal of High Energy Physicses
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subjectConformal and W Symmetryes
dc.subjectConformal Field Theoryes
dc.subjectSuperspaceses
dc.subjectSupersymmetry and Dualityes
dc.titleTowards general super Casimir equations for 4D N= 1 SCFTses
dc.typeArtĂ­culoes
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