Abstract
We compute three-point functions of general operators in the \( \mathfrak{s}\mathfrak{u}\left(1\Big|1\right) \) sector of planar \( \mathcal{N} \) = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the twoloop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.
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Caetano, J., Fleury, T. Three-point functions and \( \mathfrak{s}\mathfrak{u}\left(1\Big|1\right) \) spin chains. J. High Energ. Phys. 2014, 173 (2014). https://doi.org/10.1007/JHEP09(2014)173
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DOI: https://doi.org/10.1007/JHEP09(2014)173