{
  "id": "2010.06594",
  "version": "v1",
  "published": "2020-10-13T18:00:02.000Z",
  "updated": "2020-10-13T18:00:02.000Z",
  "title": "Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT",
  "authors": [
    "Oliver DeWolfe",
    "Kenneth Higginbotham"
  ],
  "comment": "21 pages, 2 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS$_5$ exchanges regular and alternate boundary conditions, and thus gauges the originally global $U(1)$ symmetry in the dual field theory. The generalized symmetry current dual to the 2-form in the bulk is identified as the dual field strength of the gauged $U(1)$, and the associated double-trace operator with a logarithmically running coupling is just the gauged $U(1)$ Maxwell action. Applying this dualization to an AdS Maxwell-Chern-Simons theory dual to a global $U(1) \\times U(1)$ model with an 't Hooft anomaly results in a theory with a modified field strength that holographically realizes a 2-group symmetry. We explicitly carry out the holographic renormalization to verify this, and discuss the generalization to other rank fields in other dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-13T18:00:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electromagnetic duality",
      "ads maxwell-chern-simons theory dual",
      "dual field theory",
      "generalized symmetry current dual",
      "dual field strength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}