{
  "id": "1103.2732",
  "version": "v4",
  "published": "2011-03-14T18:25:09.000Z",
  "updated": "2011-07-11T18:52:36.000Z",
  "title": "d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088",
  "authors": [
    "Chris Austin"
  ],
  "comment": "LaTeX2e, 61 pages, uses breqn.sty. v2: corrections to abstract and section 1, breqn now used correctly, partly fixed bib. v3: abstract revised, article revised and extended, bib fixed. v4: corrections to abstract and article, ref added",
  "categories": [
    "hep-th",
    "gr-qc",
    "hep-ex",
    "hep-ph"
  ],
  "abstract": "Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in ATLAS-CONF-2010-088 could arise from about 10^{30} approximately degenerate Kaluza-Klein states of the d = 11 supergravity multiplet in the s channel, that could arise from compactification of d = 11 supergravity on a 7-manifold with a compact hyperbolic Cartesian factor of intrinsic volume around 10^{34} and curvature radius an inverse TeV. A first hypothesis that the modes in the bump arise from a large degeneracy that restores agreement between the spectral staircase and the Weyl asymptotic formula immediately above the spectral gap gives a number of modes that is too large by a factor of around 60000. An alternative hypothesis that the modes in the bump arise from harmonic forms on the compact 7-manifold that are classically massless and acquire approximately equal masses from the leading quantum corrections to the CJS action naturally explains the slight reduction on a logarithmic scale in the number of modes relative to the first hypothesis, and predicts that the bump is spin 0 if the compact hyperbolic factor of large intrinsic volume is 7-dimensional, and a mixture of spins 0 and 1 if it is 5-dimensional or 3-dimensional. Even dimensions probably give too many modes. A provisional solution of the quantum-corrected d = 11 Einstein equations on a compact hyperbolic 7-manifold times 4 almost flat extended dimensions whose de Sitter radius can easily be as large as the observed value is considered, and a Horava-Witten boundary is introduced to accommodate the Standard Model fields.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-07-11T18:52:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supergravity",
      "compact hyperbolic cartesian factor",
      "bump arise",
      "first hypothesis",
      "weyl asymptotic formula"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 892400,
      "adsabs": "2011arXiv1103.2732A"
    }
  }
}