Three-point functions in ABJM and Bethe Ansatz

A bstract We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory the planar limit. In this first paper, we study them at weak coupling using relation integrable spin chain. nested Bethe ansatz for alternating SU(4) chain that describes made out scalar fields. then apply it computation show they are given by overlaps between eigenstate matrix product state. conjecture determinant corresponds state present closed-form expression overlap, which resembles so-called Gaudin determinant. also provide evidence integrability general operators. The techniques developed paper can be applied other quantities including three-point functions