Generalised scaling at subleading order

TL;DR

This paper explores the subleading order corrections to the scaling dimensions of operators in the sl(2) sector of N=4 SYM within a generalized scaling limit, linking these corrections to the O(6) model at strong coupling.

Contribution

It extends the understanding of scaling dimensions by deriving subleading corrections from the O(6) model, building on the leading order results.

Findings

Subleading corrections are also obtainable from the O(6) model at strong coupling.

The results connect the scaling dimensions to the free energy of the O(6) model.

The study enhances the theoretical framework for large spin operators in N=4 SYM.

Abstract

We study operators in the sl(2) sector of N=4 SYM in the generalised scaling limit, where the spin is large and the length of the operator scales with the logarithm of the spin. At leading order in the large spin expansion the scaling dimension at strong coupling is given in terms of the free energy of the O(6) model. We investigate the first subleading corrections to the scaling dimension and find that these too can be derived from the O(6) model in the strong coupling limit.