Novel construction and the monodromy relation for three-point functions at weak coupling

Understand

In this article, we shall develop and formulate two novel viewpoints and properties concerning the three-point functions at weak coupling in the SU(2) sector of the N = 4 super Yang-Mills theory.

• One is a double spin-chain formulation of the spin-chain and the associated new interpretation of the operation of Wick contraction.
• It will be regarded as a skew symmetric pairing which acts as a projection onto a singlet in the entire SO(4) sector, instead of an inner product in the spin-chain Hilbert space.
• This formalism allows us to study a class of three-point functions of operators built upon more general spin-chain vacua than the special configuration discussed so far in the literature.