{
  "id": "1806.05156",
  "version": "v1",
  "published": "2018-06-13T17:30:37.000Z",
  "updated": "2018-06-13T17:30:37.000Z",
  "title": "Laplacian spectrum on a nilmanifold, truncations and effective theories",
  "authors": [
    "David Andriot",
    "Dimitrios Tsimpis"
  ],
  "categories": [
    "hep-th"
  ],
  "abstract": "Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold. We first use the result to construct a finite set of forms leading to an N=2 gauged supergravity, upon reduction on manifolds with SU(3) structure. Secondly, we show that in a certain geometrical limit the spectrum is truncated to the light modes, which turn out to be left-invariant forms of the nilmanifold. We also study the behavior of the towers of modes at different points in field space, in connection with the swampland distance conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-13T17:30:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laplacian spectrum",
      "truncations",
      "three-dimensional heisenberg nilmanifold",
      "swampland distance conjecture",
      "low energy effective theories arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}