Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables

Carlos Bercini; Alexandre Homrich; Pedro Vieira

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arXiv · 2210.04923

Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables

Carlos Bercini·Alexandre Homrich·Pedro Vieira

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Abstract

We propose a new framework for computing three-point functions in planar $\mathcal{N}=4$ super Yang-Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling at leading and next-to-leading orders in a non-compact SL(2) sector of the theory and all the way to next-to-next-to-leading orders for a compact SU(2) sector. We find evidence that wrapping effects can also be incorporated.

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Carlos Bercini, Alexandre Homrich, Pedro Vieira. 2022-10-10. Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables. https://arxiv.org/abs/2210.04923

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