Current Correlators and AdS/CFT Geometry

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dc.creatorBarnes, Edwin
dc.creatorGorbatov, Elie
dc.creatorIntriligator, Ken
dc.creatorWright, Jason
dc.date2005-07-14
dc.date.accessioned2026-07-07T11:59:21Z
dc.date.available2026-07-07T11:59:21Z
dc.descriptionWe consider current-current correlators in 4d $\N =1$ SCFTs, and also 3d $\N =2$ SCFTs, in connection with AdS/CFT geometry. The superconformal $U(1)_R$ symmetry of the SCFT has the distinguishing property that, among all possibilities, it minimizes the coefficient, $τ_{RR}$ of its two-point function. We show that the geometric Z-minimization condition of Martelli, Sparks, and Yau precisely implements $τ_{RR}$ minimization. This gives a physical proof that Z-minimization in geometry indeed correctly determines the superconformal R-charges of the field theory dual. We further discuss and compare current two point functions in field theory and AdS/CFT and the geometry of Sasaki-Einstein manifolds. Our analysis gives new quantitative checks of the AdS/CFT correspondence.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0507146
dc.identifierhttp://arxiv.org/abs/hep-th/0507146
dc.identifierNucl.Phys.B732:89-117,2006
dc.identifierdoi:10.1016/j.nuclphysb.2005.10.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206529
dc.subjectHigh Energy Physics - Theory
dc.titleCurrent Correlators and AdS/CFT Geometry
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