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

Abstract

We test the conjectured relationship between N=4 super Yang-Mills theory in four dimensions and IIB supergravity compactified on $Ad{S}_5\times S_5$ 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.

24 pages, latex, minor corrections, publication in NPB

References in corpus (3)

• Gauge Theory Correlators from Non-Critical String Theory
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$

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