{
  "id": "1611.00041",
  "version": "v1",
  "published": "2016-10-31T20:52:33.000Z",
  "updated": "2016-10-31T20:52:33.000Z",
  "title": "String solutions in $AdS_3\\times S^3\\times S^3\\times S^1$ with $B$-field",
  "authors": [
    "Plamen Bozhilov"
  ],
  "comment": "24 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1404.7644",
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider strings living in $AdS_3\\times S^3\\times S^3\\times S^1$ with nonzero $B$-field. By using specific ansatz for the string embedding, we obtain a class of solutions corresponding to strings moving in the whole ten dimensional space-time. For the $AdS_3$ subspace, these solutions are given in terms of incomplete elliptic integrals. For the two three-spheres, they are expressed in terms of Lauricella hypergeometric functions of many variables. The conserved charges, i.e. the string energy, spin and angular momenta, are also found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-31T20:52:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "string solutions",
      "lauricella hypergeometric functions",
      "incomplete elliptic integrals",
      "specific ansatz",
      "angular momenta"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}