{
  "id": "0806.2791",
  "version": "v2",
  "published": "2008-06-17T13:56:32.000Z",
  "updated": "2008-08-10T21:08:12.000Z",
  "title": "SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices",
  "authors": [
    "Olaf Lechtenfeld",
    "Alexander D. Popov",
    "Richard J. Szabo"
  ],
  "comment": "1+56 pages, 9 figures; v2: clarifying comments added, final version to appear in JHEP",
  "journal": "JHEP0808:093,2008",
  "doi": "10.1088/1126-6708/2008/08/093",
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space C^d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-10T21:08:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quiver gauge theories",
      "nonabelian vortices",
      "spaces induces nonabelian quiver vortex",
      "induces nonabelian quiver vortex equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2008,
      "month": "Aug",
      "volume": 2008,
      "number": 8,
      "pages": "093"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 788476,
      "adsabs": "2008JHEP...08..093L"
    }
  }
}