A new representation for two- and three-point correlators of operators from sl(2) sector

We construct a new representation for two- and three-point correlators of operators from sl(2) sector of planar N = 4 SYM. The spin and twist of operators are arbitrary. We start with the correlation function of light-ray operators and carry out a projection to particular local operators using Sklyanin's method of Separation of Variables. With the same procedure we obtain polynomials which are dual to wave functions of sl (2, R) spin-chain.