document: The reason to investigate the BFKL and DGLAP equations in the case of supersymmetric theories is based on a common belief, that the high symmetry may significantly simplify the structure of these equations. Indeed, it was found in the leading logarithmic approximation (LLA) [10], that the so-called quasi-partonic operators in N=1 SYM are unified in supermultiplets with anomalous dimensions obtained from universal anomalous dimensions γuni(j) by shifting its arguments by an integer number. Further, the anomalous dimension matrices for twist-2 operators are fixed by the superconformal invariance [10]. Calculations in the maximally extended N=4 SYM, where the coupling constant is not renormalized, give even more remarkable results. Namely, it turns out, that here all twist-2 operators enter in the same multiplet, their anomalous dimension matrix is fixed completely by the super-conformal invariance and its universal anomalous dimension in LLA is proportional to Ψ(j−1)−Ψ(1), which means, that the evolution equations for the matrix elements of quasi-partonic operators in the multicolor limit Nc→∞ are equivalent to the Schrödinger equation for an integrable Heisenberg spin model [11,12]. In QCD the integrability remains only in a small sector of the quasi-partonic operators [13]. In the case of N=4 SYM the equations for other sets of operators are also integrable [14–16]. Evolution equations for quasi-partonic operators are written in an explicitly super-conformal form in Ref. [17].
doc_bio_tags: O O O B I I I I I I I I I I I O O O O O O O O B I I I I I I I I I O O O O O O B I I B O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O B O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: anomalous dimension matrix fixed by the superconformal invariance high symmetry may significantly simplify the structure of these equations investigate the bfkl and dglap equations in the case of supersymmetric theories leading logarithmic approximation lla
abstractive_keyphrases: anomalous dimension matrices for twist-2 operators anomalous dimensions obtained from universal anomalous dimensions γuni(j) by shifting its arguments by an integer number calculations in the maximally extended n=4 sym, where the coupling constant is not renormalized evolution equations for quasi-partonic operators evolution equations for the matrix elements of quasi-partonic operators in the multicolor limit nc→∞ n=4 sym super-conformal invariance twist-2 operators