{
  "id": "1305.1674",
  "version": "v5",
  "published": "2013-05-07T22:57:48.000Z",
  "updated": "2014-12-23T20:39:44.000Z",
  "title": "On form factors and Macdonald polynomials",
  "authors": [
    "Michael Lashkevich",
    "Yaroslav Pugai"
  ],
  "comment": "13 pages; v2: eq. (4.1) corrected; v3: minor corrections, references added; v4: eq. (2.6) and the last equation of sect. 5 corrected; references updated; more minor corrections; v5: eq. (4.1) corrected again",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We are developing the algebraic construction for form factors of local operators in the sinh-Gordon theory proposed in [B.Feigin, M.Lashkeivch, 2008]. We show that the operators corresponding to the null vectors in this construction are given by the degenerate Macdonald polynomials with rectangular partitions and the parameters $t=-q$ on the unit circle. We obtain an integral representation for the null vectors and discuss its simple applications.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-09-13T20:23:45.000Z",
      "comment": "13 pages; v2: eq. (4.1) corrected; v3: minor corrections, references added; v4: eq. (2.6) and the last equation of sect. 5 corrected; references updated; more minor corrections",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2014-12-23T20:39:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "form factors",
      "null vectors",
      "degenerate macdonald polynomials",
      "simple applications",
      "local operators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP09(2013)095",
      "journal": "Journal of High Energy Physics",
      "year": 2013,
      "month": "Sep",
      "volume": 2013,
      "pages": 95
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1232412,
      "adsabs": "2013JHEP...09..095L"
    }
  }
}