期刊
NUCLEAR PHYSICS B
卷 732, 期 1-2, 页码 89-117出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2005.10.013
关键词
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We 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, tau(RR) of its two-point function. We show that the geometric Z-minimization condition of Martelli, Sparks, and Yau precisely implements tau(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. (c) 2005 Published by Elsevier B.V.
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