{
  "id": "1310.3122",
  "version": "v2",
  "published": "2013-10-11T13:43:31.000Z",
  "updated": "2013-10-22T01:04:21.000Z",
  "title": "Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models",
  "authors": [
    "Georgios Giasemidis",
    "Richard J. Szabo",
    "Miguel Tierz"
  ],
  "comment": "17 pages; v2: reference added",
  "journal": "Phys. Rev. D 89, 025016 (2014)",
  "doi": "10.1103/PhysRevD.89.025016",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in the large N limit and establish relationships between the respective gauge theories. We use these correspondences to rederive the N^3 behaviour of the perturbative free energy of supersymmetric gauge theory on certain toric Sasaki-Einstein five-manifolds, and the one-loop thermal free energy of N=4 supersymmetric Yang-Mills theory on a spatial three-sphere.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-22T01:04:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.Kk",
      "05.30.Fk",
      "11.15.Yc",
      "12.60.Jv"
    ],
    "keywords": [
      "supersymmetric gauge theory",
      "chern-simons matrix models",
      "coulomb gases",
      "supersymmetric yang-mills theory",
      "one-loop thermal free energy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Jan",
      "volume": 89,
      "number": 2,
      "pages": "025016"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1258154,
      "adsabs": "2014PhRvD..89b5016G"
    }
  }
}