{
  "id": "cond-mat/0608160",
  "version": "v3",
  "published": "2006-08-07T19:27:58.000Z",
  "updated": "2007-04-09T09:16:25.000Z",
  "title": "On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state",
  "authors": [
    "M. Kasatani",
    "V. Pasquier"
  ],
  "comment": "relation with Kazhdan-Lusztig basis added; text modified; 2 figures added",
  "doi": "10.1007/s00220-007-0341-0",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mes-hall",
    "math.QA"
  ],
  "abstract": "We obtain a family of polynomials defined by vanishing conditions and associated to tangles. We study more specifically the case where they are related to a O(n) loop model. We conjecture that their specializations at $z_i=1$ are {\\it positive} in $n$. At $n=1$, they coincide with the the Razumov-Stroganov integers counting alternating sign matrices. We derive the CFT modular invariant partition functions labelled by Coxeter-Dynkin diagrams using the representation theory of the affine Hecke algebras.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-09T09:16:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "stationary state",
      "invariant partition functions",
      "polynomials interpolating",
      "counting alternating sign matrices"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2007,
      "month": "Dec",
      "volume": 276,
      "number": 2,
      "pages": 397
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007CMaPh.276..397K"
    }
  }
}