Instanton corrections to twist-two operators

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.

32 pages; v2: appendix B expanded, minor corrections

References in corpus (2)

• Comments on operators with large spin
• Revisiting instanton corrections to the Konishi multiplet

Cited by in corpus (5)

• More $\mathcal{N}=4$ superconformal bootstrap
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Handling Handles. Part II. Stratification and Data Analysis
• Instanton effects in correlation functions on the light-cone
• On interpolating anomalous dimension of twist-two operators with general spins