{
  "id": "0812.4219",
  "version": "v1",
  "published": "2008-12-22T17:27:06.000Z",
  "updated": "2008-12-22T17:27:06.000Z",
  "title": "D-instantons and twistors",
  "authors": [
    "Sergei Alexandrov",
    "Boris Pioline",
    "Frank Saueressig",
    "Stefan Vandoren"
  ],
  "comment": "47 pages, 1 figure, uses JHEP3.cls",
  "journal": "JHEP 0903:044,2009",
  "doi": "10.1088/1126-6708/2009/03/044",
  "categories": [
    "hep-th"
  ],
  "abstract": "Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is an outstanding open problem. We address this issue by relating the quaternionic-Kahler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instantons are captured by contact transformations between different patches. We derive those by recasting the previously known A-type D2-instanton corrections in the language of contact geometry, covariantizing the result under electro-magnetic duality, and using mirror symmetry. As a result, we are able to express the effects of all D-instantons in Type II compactifications concisely as a sum of dilogarithm functions. We conclude with some comments on the relation to microscopic degeneracies of four-dimensional BPS black holes and to the wall-crossing formula of Kontsevich and Soibelman, and on the form of the yet unknown NS5-brane instanton contributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-22T17:27:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypermultiplet moduli space",
      "d-instantons",
      "unknown ns5-brane instanton contributions",
      "four-dimensional bps black holes",
      "euclidean d-brane instantons"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2009,
      "month": "Mar",
      "volume": 2009,
      "number": 3,
      "pages": "044"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 805968,
      "adsabs": "2009JHEP...03..044A"
    }
  }
}