{
  "id": "hep-th/0403133",
  "version": "v1",
  "published": "2004-03-12T00:34:24.000Z",
  "updated": "2004-03-12T00:34:24.000Z",
  "title": "On Correspondences Between Toric Singularities and (p,q)-webs",
  "authors": [
    "Bo Feng",
    "Yang-Hui He",
    "Francis Lam"
  ],
  "comment": "29+1 pages, 11 figures",
  "journal": "Nucl.Phys. B701 (2004) 334-356",
  "doi": "10.1016/j.nuclphysb.2004.08.048",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study four-dimensional N=1 gauge theories which arise from D3-brane probes of toric Calabi-Yau threefolds. There are some standing paradoxes in the literature regarding relations among (p,q)-webs, toric diagrams and various phases of the gauge theories, we resolve them by proposing and carefully distinguishing between two kinds of (p,q)-webs: toric and quiver (p,q)-webs. The former has a one to one correspondence with the toric diagram while the latter can correspond to multiple gauge theories. The key reason for this ambiguity is that a given quiver (p,q)-web can not capture non-chiral matter fields in the gauge theory. To support our claim we analyse families of theories emerging from partial resolution of Abelian orbifolds using the Inverse Algorithm of hep-th/0003085 as well as (p,q)-web techniques. We present complex inter-relations among these theories by Higgsing, blowups and brane splittings. We also point out subtleties involved in the ordering of legs in the (p,q) diagram.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-12T00:34:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.-w"
    ],
    "keywords": [
      "gauge theory",
      "toric singularities",
      "correspondence",
      "toric diagram",
      "capture non-chiral matter fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2004,
      "month": "Nov",
      "volume": 701,
      "number": 1,
      "pages": 334
    },
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 646235,
      "adsabs": "2004NuPhB.701..334F"
    }
  }
}