OPEs and 3-point correlators of protected operators in N=4 SYM

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages

Scientific paper

10.1016/S0550-3213(02)00023-8

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of protected operators for $n\leq4$ are invariant under $U(1)_Y$ and it is argued that this implies that the two- and three-point functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new extremal correlators are exhibited.

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