{
  "id": "1211.2808",
  "version": "v2",
  "published": "2012-11-12T21:00:02.000Z",
  "updated": "2012-11-20T10:48:48.000Z",
  "title": "BPS states and their reductions",
  "authors": [
    "Prarit Agarwal",
    "Antonio Amariti",
    "Alberto Mariotti",
    "Massimo Siani"
  ],
  "comment": "25 pages, 1 figure, typos fixed",
  "categories": [
    "hep-th"
  ],
  "abstract": "We develop a method to identify the BPS states in the Hilbert space of a supersymmetric field theory on a generic curved space which preserves at least two real supercharges. We also propose a one-to-one map between BPS states in d-dimensional field theories and states that contribute to the supersymmetric partition function of a corresponding (d-1)-dimensional field theory. As an application we obtain the superconformal index on rounded and squashed three spheres, and we show a natural reduction of the respective indices to the three-dimensional exact partition functions. We discuss the validity of the correspondence both at the perturbative and at the non-perturbative level and exploit the idea to uplift the computation of the exact supersymmetric partition function on a general manifold to a higher dimensional index.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-20T10:48:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bps states",
      "exact supersymmetric partition function",
      "three-dimensional exact partition functions",
      "d-dimensional field theories",
      "higher dimensional index"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP08(2013)011",
      "journal": "Journal of High Energy Physics",
      "year": 2013,
      "month": "Aug",
      "volume": 2013,
      "pages": 11
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JHEP...08..011A",
      "inspire": 1202518
    }
  }
}