{
  "id": "0803.1014",
  "version": "v5",
  "published": "2008-03-07T12:53:10.000Z",
  "updated": "2009-07-30T13:14:25.000Z",
  "title": "N=8 Dyon Partition Function and Walls of Marginal Stability",
  "authors": [
    "Ashoke Sen"
  ],
  "comment": "LaTeX file, 22 pages; v3: minor clarifications added; v4: minor expansion; v5: minor corrections",
  "journal": "JHEP 0807:118,2008",
  "doi": "10.1088/1126-6708/2008/07/118",
  "categories": [
    "hep-th"
  ],
  "abstract": "We construct the partition function of 1/8 BPS dyons in type II string theory on T^6 from counting of microstates of a D1-D5 system in Taub-NUT space. Our analysis extends the earlier ones by Shih, Strominger and Yin and by Pioline by taking into account the walls of marginal stability on which a 1/8 BPS dyon can decay into a pair of half-BPS dyons. Across these walls the dyon spectrum changes discontinuously, and as a result the spectrum is not manifestly invariant under S-duality transformation of the charges. However the partition function is manifestly S-duality invariant and takes the same form in all domains of the moduli space separated by walls of marginal stability, -- the spectra in different domains being obtained by choosing different integration contours along which we carry out the Fourier transform of the partition function. The jump in the spectrum across a wall of marginal stability, calculated from the behaviour of the partition function at an appropriate pole, reproduces the expected wall crossing formula.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-07-30T13:14:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "marginal stability",
      "dyon partition function",
      "taub-nut space",
      "analysis extends",
      "half-bps dyons"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2008,
      "month": "Jul",
      "volume": 2008,
      "number": 7,
      "pages": 118
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 780880,
      "adsabs": "2008JHEP...07..118S"
    }
  }
}