Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM

Understand

Recently, several multi-loop conjectures have been proposed for the spin dependence of anomalous dimensions of twist-2 and 3 operators in the sl(2) sector of N=4 SYM.

• Currently, these conjectures are not proven, although several consistency checks have been performed on their large spin expansion.
• In this paper, we show how these expansions can be efficiently computed without resorting to any conjecture.
• To this aim we present in full details a method to expand at large spin the solution of the long-range Baxter equation.