{
  "id": "0908.2809",
  "version": "v4",
  "published": "2009-08-20T08:56:52.000Z",
  "updated": "2010-08-05T03:41:28.000Z",
  "title": "Emergent Geometry from Quantized Spacetime",
  "authors": [
    "Hyun Seok Yang",
    "M. Sivakumar"
  ],
  "comment": "33 pages; Published version in Phys. Rev. D",
  "journal": "Phys. Rev. D82 (2010) 045004",
  "doi": "10.1103/PhysRevD.82.045004",
  "categories": [
    "hep-th",
    "gr-qc",
    "hep-ph"
  ],
  "abstract": "We examine the picture of emergent geometry arising from a mass-deformed matrix model. Because of the mass-deformation, a vacuum geometry turns out to be a constant curvature spacetime such as d-dimensional sphere and (anti-)de Sitter spaces. We show that the mass-deformed matrix model giving rise to the constant curvature spacetime can be derived from the d-dimensional Snyder algebra. The emergent geometry beautifully confirms all the rationale inferred from the algebraic point of view that the d-dimensional Snyder algebra is equivalent to the Lorentz algebra in (d+1)-dimensional {\\it flat} spacetime. For example, a vacuum geometry of the mass-deformed matrix model is completely described by a G-invariant metric of coset manifolds G/H defined by the Snyder algebra. We also discuss a nonlinear deformation of the Snyder algebra.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-08-05T03:41:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Gh",
      "11.25.Tq",
      "11.10.Nx"
    ],
    "keywords": [
      "emergent geometry",
      "mass-deformed matrix model",
      "quantized spacetime",
      "matrix model giving rise",
      "d-dimensional snyder algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "Aug",
      "volume": 82,
      "number": 4,
      "pages": "045004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 829142,
      "adsabs": "2010PhRvD..82d5004Y"
    }
  }
}