Three-point correlators of twist-2 operators in N=4 SYM at Born approximation

We calculate two different types of 3-point correlators involving twist-2 operators in the leading weak coupling approximation and all orders in N c in N=4 SYM theory. Each of three operators in the first correlator can be any component of twist-2 supermultiplet, though the explicit calculation was done for a particular component which is an SU(4) singlet. It is calculated in the leading, Born approximation for arbitrary spins j 1 , j 2 , j 3. The result significantly simplifies when at least one of the spins is large or equal to zero and the coordinates are restricted to the 2d plane spanned by two light-rays. The second correlator involves two twist-2 operators Tr(X∇ j1 X) + . . ., Tr(Z∇ j2 Z) + . . . and one Konishi operator Tr[ Z̄,X̄ ]² . It vanishes in the lowest g 0 order and is computed at the leading g 2 approximation.