Three - Loop Four - Point Correlator in N = 4 SYM
نویسندگان
چکیده
We explicitly compute the complete three-loop (O(g 4)) contribution to the four-point function of chiral primary current-like operators˜q 2 q 2 ˜ q 2 q 2 in any finite N = 2 SYM theory. The computation uses N = 2 harmonic supergraphs in coordinate space. Dramatic simplifications are achieved by a double insertion of the N = 2 SYM linearized action, and application of supercon-formal covariance arguments to the resulting nilpotent six-point amplitude. The result involves polylogarithms up to fourth order of the conformal cross ratios. It becomes particularly simple in the N = 4 special case.
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