{
  "id": "0911.4692",
  "version": "v2",
  "published": "2009-11-24T18:29:32.000Z",
  "updated": "2010-07-20T12:47:22.000Z",
  "title": "Large N duality beyond the genus expansion",
  "authors": [
    "Marcos Marino",
    "Sara Pasquetti",
    "Pavel Putrov"
  ],
  "comment": "37 pages, 24 figures. v2: clarifications and references added, misprints corrected, to appear in JHEP",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study non-perturbative aspects of the large N duality between Chern-Simons theory and topological strings, and we find a rich structure of large N phase transitions in the complex plane of the 't Hooft parameter. These transitions are due to large N instanton effects, and they can be regarded as a deformation of the Stokes phenomenon. Moreover, we show that, for generic values of the 't Hooft coupling, instanton effects are not exponentially suppressed at large N and they correct the genus expansion. This phenomenon was first discovered in the context of matrix models, and we interpret it as a generalization of the oscillatory asymptotics along anti-Stokes lines. In the string dual, the instanton effects can be interpreted as corrections to the saddle string geometry due to discretized neighboring geometries. As a mathematical application, we obtain the 1/N asymptotics of the partition function of Chern-Simons theory on L(2,1), and we test it numerically to high precision in order to exhibit the importance of instanton effects.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-20T12:47:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "genus expansion",
      "instanton effects",
      "chern-simons theory",
      "stokes phenomenon",
      "complex plane"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP07(2010)074",
      "journal": "Journal of High Energy Physics",
      "year": 2010,
      "month": "Jul",
      "volume": 2010,
      "pages": 74
    },
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 837790,
      "adsabs": "2010JHEP...07..074M"
    }
  }
}