Next-to-leading corrections to BFKL and BKP equations

We consider the BFKL and BKP equations in the leading and next-to-leading approximations in QCD and in N=4 SUSY. In QCD the spectrum of the Pomeron singularities of the t-channel partial waves is discreet. The BKP equation in LLA is integrable. The effective action for the reggeized gluons gives a possibility to calculate the next-to-leading corrections to the gluon Regge trajectory and Reggeon couplings. We discuss the Möbius invariance of the integral kernels of the BFKL and BKP equations in the next-to-leading order for the color singlet and adjoint representations. In the N=4 SUSY the BFKL intercept can be calculated in the strong coupling expansion due to the AdS/CFT correspondence. We discuss also the generalization of the effective action approach to the gravity and supergravity. In these models the gravito-graviton scattering amplitude is calculated in the double-logarithmic approximation.