Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables
High Energy Physics - Theory
2022-11-24 v2
Abstract
We propose a new framework for computing three-point functions in planar 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.
Cite
@article{arxiv.2210.04923,
title = {Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables},
author = {Carlos Bercini and Alexandre Homrich and Pedro Vieira},
journal= {arXiv preprint arXiv:2210.04923},
year = {2022}
}
Comments
14 pages, 5 figures; typos corrected, references added, discussion revised;