{
  "id": "1809.03670",
  "version": "v1",
  "published": "2018-09-11T03:42:57.000Z",
  "updated": "2018-09-11T03:42:57.000Z",
  "title": "Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories",
  "authors": [
    "Kazuma Shimizu",
    "Seiji Terashima"
  ],
  "comment": "29 pages, 4 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "Three dimensional supersymmetric gauge theories are often in a gapped phase, in which SUSY is spontaneously broken, if all the matter fields are massive and decoupled in the low energy. We study this phase in the large $N$ limit using the localization technique for the theory on the ellipsoid, which interpolates the round three sphere and the flat space compactified on $S^1$. We find a large $N$ saddle point solution for the gauge theory with some massive matter fields. This solution gives a vanishing (generalized) Polyakov loop in the flat space limit, thus, it corresponds to the confining phase at the leading order in the $1/N$ expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-11T03:42:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "supersymmetry breaking phase",
      "dimensional large",
      "dimensional supersymmetric gauge theories",
      "flat space limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}