DGLAP and BFKL equations in the N = 4 supersymmetric gauge theory

by L. Lipatov (LPTHE, JUSSIEU, France)

Thursday 24 Jul 2003, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

Remarkable mathematical properties of the BFKL dynamics in the leading logarithmic approximation are reviewed. It is demonstrated, that in the next-to-leading approximation the eigenvalue of the BFKL kernel is an analytic function of the conformal spin only in the extended N = 4 supersymmetric theory. The analytic continuation of this function to negative values of the conformal spin allows one to calculate the singularities of the anomalous dimensions of the twist-two operators in an agreement with their direct calculation from the DGLAP equation. Relations between various physical quantities in N = 4 SUSY at weak and strong coupling regimes in the framework of the CFT/AdS correspondence are discussed.