Conformal bootstrap for the BFKL pomeron

We calculate the interaction vertex of three BFKL states including the bare triple BFKL Pomeron coupling and discuss its relation with the correlation functions in two-dimensional conformal field theory. We construct the oper ator algebra of the fields interpolating the BFKL states and show that in t he multi-color limit the vertex satisfies the constraints imposed by the co nformal bootstrap on the structure constants of the operator product expans ion in conformal field theory. (C) 1999 Elsevier Science B.V. All rights re served.