{
  "id": "1910.03347",
  "version": "v1",
  "published": "2019-10-08T11:46:37.000Z",
  "updated": "2019-10-08T11:46:37.000Z",
  "title": "The String Geometry Behind Topological Amplitudes",
  "authors": [
    "Carlo Angelantonj",
    "Ignatios Antoniadis"
  ],
  "comment": "28 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "It is shown that the generating function of $\\mathscr{N}=2$ topological strings, in the heterotic weak coupling limit, is identified with the partition function of a six-dimensional Melvin background. This background, which corresponds to an exact CFT, realises in string theory the six-dimensional $\\varOmega$-background of Nekrasov, in the case of opposite deformation parameters $\\epsilon_1=-\\epsilon_2$, thus providing the known perturbative part of the Nekrasov partition function in the field theory limit. The analysis is performed on both heterotic and type I strings and for the cases of ordinary $\\mathscr{N}=2$ and $\\mathscr{N}=2^*$ theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-08T11:46:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological amplitudes",
      "string geometry",
      "field theory limit",
      "nekrasov partition function",
      "heterotic weak coupling limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}