  We study perturbative unitarity corrections in the generalized leading
logarithmic approximation in high energy QCD. It is shown that the
corresponding amplitudes with up to six gluons in the t-channel are conformally
invariant in impact parameter space. In particular we give a new representation
for the two-to-six reggeized gluon vertex in terms of conformally invariant
functions. 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.
