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

TL;DR

This paper constructs and analyzes two- and three-point correlation functions of protected operators in N=4 SYM, demonstrating their invariance and non-renormalization properties using analytic superspace methods.

Contribution

It introduces a method to compute correlation functions of protected operators in N=4 SYM and shows their invariance under certain symmetries, extending the analytic superspace formalism.

Findings

Two- and three-point functions are invariant under U(1)_Y.

Protected operators' correlators are not renormalized.

Explicit construction of unprotected operators within the formalism.

Abstract

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.