Extremal correlators in four-dimensional SCFT

TL;DR

This paper demonstrates that specific extremal correlators in 4D N=2 superconformal field theories, including N=4 SYM, have a free-field form and are not corrected by higher-order coupling effects, for any finite N_c.

Contribution

It establishes the free-field structure and non-renormalization of extremal correlators in 4D N=2 SCFTs, extending to N=4 SYM.

Findings

Extremal correlators have a free-field functional form.

Coupling constant dependence receives no higher-order corrections.

Results apply for any finite N_c.

Abstract

It is shown that certain extremal correlators in four-dimensional N=2 superconformal field theories (including N=4 super-Yang-Mills as a special case) have a free-field functional form. It is further argued that the coupling constant dependence receives no correction beyond the lowest order. These results hold for any finite value of N_c.