{
  "id": "2009.11198",
  "version": "v1",
  "published": "2020-09-23T15:00:00.000Z",
  "updated": "2020-09-23T15:00:00.000Z",
  "title": "Correlators on the wall and $\\mathfrak{sl}_n$ spin chain",
  "authors": [
    "Mykola Dedushenko",
    "Davide Gaiotto"
  ],
  "comment": "48 pages, 7 figures",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We study algebras and correlation functions of local operators at half-BPS interfaces engineered by the stacks of D5 or NS5 branes in the 4d $\\mathcal{N}=4$ super Yang-Mills. The operator algebra in this sector is isomorphic to a truncation of the Yangian $\\mathcal{Y}(\\mathfrak{gl}_n)$. The correlators, encoded in a trace on the Yangian, are controlled by the inhomogeneous $\\mathfrak{sl}_n$ spin chain, where $n$ is the number of fivebranes: they are given in terms of matrix elements of transfer matrices associated to Verma modules, or equivalently of products of Baxter's Q-operators. This can be viewed as a novel connection between the $\\mathcal{N}=4$ super Yang-Mills and integrable spin chains. We also remark on analogous constructions involving half-BPS Wilson lines.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-23T15:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlators",
      "super yang-mills",
      "half-bps wilson lines",
      "correlation functions",
      "integrable spin chains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}