{
  "id": "2210.04923",
  "version": "v1",
  "published": "2022-10-10T18:00:10.000Z",
  "updated": "2022-10-10T18:00:10.000Z",
  "title": "Structure Constants in $\\mathcal{N} = 4$ SYM and Separation of Variables",
  "authors": [
    "Carlos Bercini",
    "Alexandre Homrich",
    "Pedro Vieira"
  ],
  "comment": "14 pages, 5 figures",
  "categories": [
    "hep-th"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-10T18:00:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "structure constants",
      "separation",
      "compact su",
      "multiple integrals",
      "computing three-point functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}