{
  "id": "hep-th/9804063",
  "version": "v3",
  "published": "1998-04-08T10:09:21.000Z",
  "updated": "1998-06-16T13:54:53.000Z",
  "title": "Mixing of Ground States in Vertex Models",
  "authors": [
    "Jin Hong",
    "Seok-Jin Kang",
    "Tetsuji Miwa",
    "Robert Weston"
  ],
  "comment": "12 pages, LaTeX, typos corrected",
  "journal": "J.Phys. A31 (1998) L515-L525",
  "doi": "10.1088/0305-4470/31/28/001",
  "categories": [
    "hep-th",
    "math.QA"
  ],
  "abstract": "We consider the analogue of the 6-vertex model constructed from alternating spin n/2 and spin m/2 lines, where $1\\leq n<m$. We identify the transfer matrix and the space on which it acts in terms of the representation theory of $U_q(sl_2)$. We diagonalise the transfer matrix and compute the S-matrix. We give a trace formula for local correlation functions. When n=1, the 1-point function of a spin m/2 local variable for the alternating lattice with a particular ground state is given as a linear combination of the 1-point functions of the pure spin m/2 model with different ground states. The mixing ratios are calculated exactly and are expressed in terms of irreducible characters of $U_q(sl_2)$ and the deformed Virasoro algebra.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1998-06-16T13:54:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "vertex models",
      "transfer matrix",
      "local correlation functions",
      "linear combination"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 469089
    }
  }
}