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R-Current Correlators in N=4 Super Yang-Mills Theory from Anti-de Sitter Supergravity

G. Chalmers·H. Nastase·K. Schalm·R. Siebelink
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Abstract

We test the conjectured relationship between N=4 super Yang-Mills theory in four dimensions and IIB supergravity compactified on $AdS_5\times S_5$ by computing the two- and three-point functions of R-symmetry currents. We observe that the integral expressions describing the general three-point correlator on the supergravity side have a structure similar to one-loop triangle diagrams in N=4 super Yang-Mills theory. This allows us to compare the expressions on both sides of the AdS/CFT correspondence without the technical complications of the loop integrations. We confirm that the two- and three-point correspondence arises at only one-loop in the N=4 super Yang-Mills theory. Higher-point functions as well as further three-point functions may be analyzed similarly.

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G. Chalmers, H. Nastase, K. Schalm, R. Siebelink. 1998-12-18. R-Current Correlators in N=4 Super Yang-Mills Theory from Anti-de Sitter Supergravity. https://doi.org/10.1016/s0550-3213(98)00758-5

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