Structure of large spin expansion of anomalous dimensions at strong coupling

Understand

The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly), f_c and f_mn are given by power series in the `t Hooft coupling \lambda.

• The subleading coefficients appear to be related by the so called functional relation and parity invariance (or reciprocity) property of the function expressing \gamma in terms of the conformal spin of the collinear group.
• Here we study the structure of such large spin expansion at strong coupling via AdS/CFT, i.e.
• by using the dual description in terms of folded spinning string in AdS_5.