Generalised scaling at subleading order

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.