2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/45360We examine the generalized leading-logarithmic approximation (LLA) equations for compound states of n-reggeized gluons. It is shown that in multi-color QCD, when $N_c \rightarrow \infty$, these equations have a sufficient number of conservation laws to be exactly solvable. Holomorphic factorization of the wave functions is used to reduce the corresponding quantum mechanical problem to the solution of the one-dimensional Heisenberg model with the spins being the generators of the M$\ddot{o}$bius group of conformal transformations.11 pages, latex, no figures, to appear in Proceedings of the workshop 'Theory of Hadrons and Light-Front QCD', Poland, August 1994, Lipatov's invited talk at this meetingHigh Energy Physics - PhenomenologyMulti-color QCD at High Energies and Exactly Solvable Lattice Theoriestext