{
  "id": "hep-th/9803048",
  "version": "v1",
  "published": "1998-03-05T20:56:42.000Z",
  "updated": "1998-03-05T20:56:42.000Z",
  "title": "Matrix Theory on ALE Spaces and Wrapped Membranes",
  "authors": [
    "David Berenstein",
    "Richard Corrado"
  ],
  "comment": "23 pages LaTeX2e, 1 figure, using utarticle.cls (included), array.sty, amsmath.sty, amsfonts.sty, cite.sty, epsfig. Bibtex style: utphys.bst (.bbl file included)",
  "journal": "Nucl.Phys. B529 (1998) 225-245",
  "doi": "10.1016/S0550-3213(98)00347-2",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the properties of wrapped membranes in matrix theory on ALE spaces. We show that the only BPS bound states of wrapped membranes that can form are roots of the $A$-$D$-$E$ group. We determine a bound on the energy of a bound state and find the correct dependence on the blow-up parameters and longitudinal momentum expected from M-Theory. For the $A_{n-1}$ series, we construct explicit classical solutions for the wrapped membrane bound states. These states have a very rich structure and have a natural interpretation in terms of noncommutative geometry. In the $A_1$ case, we examine the spectrum of excitations around the wrapped membrane solution and provide an explicit calculation of their energies. The results agree exactly with supergravity calculations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-03-05T20:56:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "matrix theory",
      "ale spaces",
      "bps bound states",
      "wrapped membrane bound states",
      "construct explicit classical solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 467851
    }
  }
}