{
  "id": "hep-th/9610140",
  "version": "v2",
  "published": "1996-10-18T20:23:13.000Z",
  "updated": "1996-10-30T23:05:30.000Z",
  "title": "Aspects of Type IIB Theory on ALE Spaces",
  "authors": [
    "Clifford V. Johnson",
    "Robert C. Myers"
  ],
  "comment": "27 pages, three figures. Uses harvmac.tex and epsf.tex (sentences corrected on pages 13+14, reference added, small addition to final remarks)",
  "journal": "Phys.Rev. D55 (1997) 6382-6393",
  "doi": "10.1103/PhysRevD.55.6382",
  "categories": [
    "hep-th"
  ],
  "abstract": "D-brane technology and strong/weak coupling duality supplement traditional orbifold techniques by making certain background geometries more accessible. In this spirit, we consider some of the geometric properties of the type IIB theory on R^6 \\times M where M is an `Asymptotically Locally Euclidean (ALE)' gravitational instanton. Given the self-duality of the theory, we can extract the geometry (both singular and resolved) seen by the weakly coupled IIB string by studying the physics of a D1-brane probe. The construction is both amusing and instructive, as the physics of the probe completely captures the mathematics of the construction of ALE instantons via `HyperKahler Quotients', as presented by Kronheimer. This relation has been noted by Douglas and Moore for the A-series. We extend the explicit construction to the case of the D- and E-series -- uncovering a quite beautiful structure -- and highlight how all of the elements of the mathematical construction find their counterparts in the physics of the type IIB D-string. We discuss the explicit ALE metrics which may be obtained using these techniques, and comment on the role duality plays in relating gauged linear sigma models to conformal field theories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1996-10-30T23:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Hf"
    ],
    "keywords": [
      "type iib theory",
      "ale spaces",
      "gauged linear sigma models",
      "duality supplement traditional orbifold techniques",
      "coupling duality supplement traditional orbifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 424847
    }
  }
}