{
  "id": "hep-th/0005182",
  "version": "v2",
  "published": "2000-05-19T16:44:51.000Z",
  "updated": "2001-05-08T17:16:24.000Z",
  "title": "Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling",
  "authors": [
    "G. Arutyunov",
    "S. Frolov",
    "A. C. Petkou"
  ],
  "comment": "Latex, 47p, subsection 4.5 is modified, typos are corrected",
  "journal": "Nucl.Phys. B586 (2000) 547-588; Erratum-ibid. B609 (2001) 539",
  "doi": "10.1016/S0550-3213(00)00439-9",
  "categories": [
    "hep-th"
  ],
  "abstract": "We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \\sim \\tr \\phi^{(i}\\phi^{j)}$ in $\\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all power-singular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R-symmetry current and the stress tensor. Operators dual to string modes decouple at strong coupling. We compute the anomalous dimensions and the leading $1/N^2$ corrections to the normalization constants of the 2- and 3-point functions of scalar and vector double-trace operators with approximate dimensions 4 and 5 respectively. We also find that the conformal dimensions of certain towers of double-trace operators in the {\\bf 105}, {\\bf 84} and {\\bf 175} irreps are non-renormalized. We show that, despite the absence of a non-renormalization theorem for the double-trace operator in the {\\bf 20} irrep, its anomalous dimension vanishes. As by-products of our investigation, we derive explicit expressions for the conformal block of the stress tensor, and for the conformal partial wave amplitudes of a conserved current and of a stress tensor in $d$ dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-05-08T17:16:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator product expansion",
      "lowest weight cpos",
      "strong coupling",
      "double-trace operator",
      "stress tensor"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 527594
    }
  }
}