The dilatation generator of N = 4 SYM and integrability

by Niklas Beisert (AEI Potsdam)

Tuesday 9 Mar 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

The AdS/CFT correspondence predicts the matching of N=4 SYM scaling dimensions with IIB string light-cone energies on AdS5 x S5. Scaling dimensions can conveniently be obtained as the eigenvalues of the theory's dilatation generator. Its possible quantum deformations are tightly constrained by superconformal symmetry and Feynman diagram topologies. We demonstrate how these fix the generator up to some loop order in a purely algebraic way. Interestingly, this dilatation generator seems to be integrable in the planar limit, at one loop as well as at higher orders of the coupling constant.