Conformal invariance of unitarity corrections

We study perturbative unitarity corrections in the generalized leading loga rithmic approximation in high energy QCD. It is shown that the correspondin g amplitudes with up to six gluons in the t-channel are conformally invaria nt in impact parameter space. In particular we give a new representation fo r the two-to-six reggeized gluon vertex in terms of conformally invariant f unctions. With the help of this representation an interesting regularity in the structure of the two-to-four and the two-to-six transition vertices is found. (C) 2001 Published by Elsevier Science B.V.