{
  "id": "1206.2606",
  "version": "v4",
  "published": "2012-06-12T17:46:47.000Z",
  "updated": "2016-11-12T03:08:51.000Z",
  "title": "Exact Results in D=2 Supersymmetric Gauge Theories",
  "authors": [
    "Nima Doroud",
    "Jaume Gomis",
    "Bruno Le Floch",
    "Sungjay Lee"
  ],
  "comment": "78 pages, LaTeX; v2: small corrections and references added; v3: JHEP version, discussing factorization further in new appendix F; v4: sign corrected for non simply-connected gauge group",
  "journal": "JHEP 1305 (2013) 093",
  "doi": "10.1007/JHEP05(2013)093",
  "categories": [
    "hep-th",
    "math.AG"
  ],
  "abstract": "We compute exactly the partition function of two dimensional N=(2,2) gauge theories on S^2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory. We further demonstrate that correlation functions in two dimensional Liouville/Toda CFT compute the S^2 partition function for a class of N=(2,2) gauge theories, thereby uncovering novel modular properties in two dimensional gauge theories. Some of these gauge theories flow in the infrared to Calabi-Yau sigma models - such as the conifold - and the topology changing flop transition is realized as crossing symmetry in Liouville/Toda CFT. Evidence for Seiberg duality in two dimensions is exhibited by demonstrating that the partition function of conjectured Seiberg dual pairs are the same.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-07T01:53:40.000Z",
      "comment": "78 pages, LaTeX; v2: small corrections and references added; v3: JHEP version, discussing factorization further in new appendix F"
    },
    {
      "version": "v4",
      "updated": "2016-11-12T03:08:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supersymmetric gauge theories",
      "exact results",
      "partition function",
      "conjectured seiberg dual pairs",
      "topology changing flop transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "J. High Energ. Phys.",
      "year": 2013,
      "month": "May",
      "volume": 2013,
      "pages": 93
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 78,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1118078,
      "adsabs": "2013JHEP...05..093D"
    }
  }
}