{
  "id": "1704.08675",
  "version": "v1",
  "published": "2017-04-27T17:39:27.000Z",
  "updated": "2017-04-27T17:39:27.000Z",
  "title": "Multi-cut Solutions in Chern-Simons Matrix Models",
  "authors": [
    "Takeshi Morita",
    "Kento Sugiyama"
  ],
  "comment": "24 pages, 9 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We elaborate the Chern-Simons (CS) matrix models at large $N$. The saddle point equations of these matrix models have a curious structure which cannot be seen in the ordinary one matrix models. Thanks to this structure, an infinite number of multi-cut solutions exist in the CS matrix models. Particularly we exactly derive the two-cut solutions at finite 't\\,Hooft coupling in the pure CS matrix model. In the ABJM matrix model, we argue that some of multi-cut solutions might be interpreted as a condensation of the membrane instantons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-27T17:39:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chern-simons matrix models",
      "multi-cut solutions",
      "pure cs matrix model",
      "abjm matrix model",
      "saddle point equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}