{
  "id": "1810.07763",
  "version": "v1",
  "published": "2018-10-17T20:07:26.000Z",
  "updated": "2018-10-17T20:07:26.000Z",
  "title": "Courant algebroids, Poisson-Lie T-duality, and type II supergravities",
  "authors": [
    "Pavol Ševera",
    "Fridrich Valach"
  ],
  "comment": "32 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, and obtain them from the variation of a natural action functional. This allows us to prove, in a very general setup, the compatibility of the Poisson-Lie T-duality with the renormalization group flow and with string background equations. We thus extend the known results to a much wider class of dualities, including the cases with gauging (so called dressing cosets, or equivariant Poisson-Lie T-duality). As an illustration, we use the formalism to provide new classes of solutions of modified supergravity equations on symmetric spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-17T20:07:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supergravity",
      "general courant algebroid",
      "renormalization group flow",
      "equivariant poisson-lie t-duality",
      "natural action functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}