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

Understand

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 the method of Separated Variables.
• With the same calculation we obtain polynomials which are dual to wave functions of sl(2,R) spin-chain.