{
  "id": "1901.11039",
  "version": "v1",
  "published": "2019-01-30T19:00:19.000Z",
  "updated": "2019-01-30T19:00:19.000Z",
  "title": "Supersymmetric AdS$_7$ and AdS$_6$ vacua and their consistent truncations with vector multiplets",
  "authors": [
    "Emanuel Malek",
    "Henning Samtleben",
    "Valentí Vall Camell"
  ],
  "comment": "58 pages plus appendices",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "Using exceptional field theory we construct supersymmetric warped AdS$_7$ vacua of massive IIA and AdS$_6$ vacua of IIB, as well as their consistent truncations including vector multiplets. We show there are no consistent truncations of massive IIA supergravity around its supersymmetric AdS$_7$ vacua with vector multiplets when the Roman's mass is non-vanishing. For AdS$_6$ vacua of IIB supergravity, we find that in addition to the consistent truncation to pure $\\mathrm{F}(4)$ gauged SUGRA, the only other half-maximal truncations that are consistent result in $\\mathrm{F}(4)$ gauged SUGRA coupled to one or two Abelian vector multiplets, to three non-Abelian vector multiplets, leading to an $\\mathrm{ISO}(3)$ gauged SUGRA, or to three non-Abelian plus one Abelian vector multiplet, leading to an $\\mathrm{ISO}(3) \\times \\mathrm{U}(1)$ gauged SUGRA. These consistent truncations with vector multiplets exist when the two holomorphic functions that define the AdS$_6$ vacua satisfy certain differential conditions which we derive. We use these to deduce that no globally regular AdS$_6$ solutions admit a consistent truncation to $\\mathrm{F}(4)$ gauged SUGRA with two vector multiplets, and show that the Abelian T-dual of the Brandhuber-Oz vacuum allows a consistent truncation to $\\mathrm{F}(4)$ gauged SUGRA with a single vector multiplet.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-30T19:00:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "consistent truncation",
      "gauged sugra",
      "supersymmetric ads",
      "exceptional field theory",
      "non-abelian vector multiplets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}