Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4

TL;DR

This paper demonstrates that specific operators in N=4 SYM_4 are protected from quantum corrections due to a non-renormalization theorem, and identifies new non-renormalized operators through OPE analysis.

Contribution

It introduces a partial non-renormalization theorem for 4-point functions of chiral primary operators and develops techniques for asymptotic expansion up to order ^2, revealing new protected operators.

Findings

Certain operators do not receive quantum corrections.

New non-renormalized operators of approximate dimension 6 identified.

Asymptotic expansion of 4-point functions achieved up to order ^2.

Abstract

We show that certain classes of apparently unprotected operators in N=4 SYM_4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order O(\lambda^2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.