{
  "id": "2009.11878",
  "version": "v1",
  "published": "2020-09-24T18:00:04.000Z",
  "updated": "2020-09-24T18:00:04.000Z",
  "title": "The non-integrability of $L^{a,b,c}$ quiver gauge theories",
  "authors": [
    "Konstantinos S. Rigatos"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We show that the $AdS_5 \\times L^{a,b,c}$ solution in type IIB theory is non-integrable. To do so, we consider a string embedding and study its fluctuations which do not admit Liouville integrable solutions. We, also, perform a numerical analysis to study the time evolution of the string and compute the largest Lyapunov exponent. This analysis indicates that the string motion is chaotic. Finally, we consider the point-like limit of the string that corresponds to BPS mesons of the quiver theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-24T18:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quiver gauge theories",
      "non-integrability",
      "type iib theory",
      "largest lyapunov exponent",
      "admit liouville integrable solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}