{
  "id": "1211.1388",
  "version": "v1",
  "published": "2012-11-06T21:00:05.000Z",
  "updated": "2012-11-06T21:00:05.000Z",
  "title": "Free Energy of D_n Quiver Chern-Simons Theories",
  "authors": [
    "P. Marcos Crichigno",
    "Christopher P. Herzog",
    "Dharmesh Jain"
  ],
  "comment": "24 pages, 8 figures",
  "journal": "JHEP1303:039,2013",
  "categories": [
    "hep-th"
  ],
  "abstract": "We apply the matrix model of Kapustin, Willett and Yaakov to compute the free energy of N=3 Chern-Simons matter theories with D_n quivers in the large N limit. We conjecture a general expression for the free energy that is explicitly invariant under Seiberg duality and show that it can be interpreted as a sum over certain graphs known as signed graphs. Through the AdS/CFT correspondence, this leads to a prediction for the volume of certain tri-Sasaki Einstein manifolds. We also study the unfolding procedure, which relates these D_n quivers to A_{2n-5} quivers. Furthermore, we consider the addition of massive fundamental flavor fields, verifying that integrating these out decreases the free energy in accordance with the F-theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-06T21:00:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free energy",
      "quiver chern-simons theories",
      "chern-simons matter theories",
      "tri-sasaki einstein manifolds",
      "massive fundamental flavor fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP03(2013)039"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1199022,
      "adsabs": "2012arXiv1211.1388M"
    }
  }
}