Instanton corrections to twist-two operators

TL;DR

This paper calculates instanton effects on twist-two operators in N=4 SYM, revealing non-zero corrections for low spin and vanishing corrections for high spin, aligning with superconformal identities.

Contribution

It provides the first explicit instanton correction calculations for twist-two operators with arbitrary spin in N=4 SYM, including structure constants and scaling dimensions.

Findings

Instanton corrections match Konishi operator for spin-two.

Leading instanton correction vanishes for high-spin operators.

Results confirm superconformal Ward identities.

Abstract

We present the calculation of the leading instanton contribution to the scaling dimensions of twist-two operators with arbitrary spin and to their structure constants in the OPE of two half-BPS operators in $\mathcal N=4$ SYM. For spin-two operators we verify that, in agreement with $\mathcal N=4$ superconformal Ward identities, the obtained expressions coincide with those for the Konishi operator. For operators with high spin we find that the leading instanton correction vanishes. This arises as the result of a rather involved calculation and requires a better understanding.