Physics Group Meeting

Anomalous dimensions of any local operators in planar N=4 SYM are a
unique example of a non-BPS quantitiy, defined by  genuine 4D Feynman
graphs including all gluon interactions, which can be computed
exactly, in principle at any 't Hooft coupling.  We will present the
most advanced formulation of this problem in terms of a system of
Riemann-Hilbert type equations on a finite number of Baxter
Q-functions of spectral parameter.  We will motivate the origins of
these equations, derived from the spectral AdS/CFT Y-system, from the
point of view of  the quantum integrability, superconformal symmetry
and analyticity.  Their efficiency will be illustrated in some
approximations.