{
  "id": "1104.4368",
  "version": "v1",
  "published": "2011-04-22T00:16:45.000Z",
  "updated": "2011-04-22T00:16:45.000Z",
  "title": "Bijection between spin $S=\\frac{p^{M}-1}{2}$ and a cluster of $M$ spins $σ=\\frac{p-1}{2}$",
  "authors": [
    "N. Sh. Izmailian",
    "Onofre Rojas",
    "S. M. de Souza"
  ],
  "comment": "17 pages",
  "journal": "Physica A 391 (2012) 552-562",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "We propose a general method by which a spin-$S$ is decomposed into spins less than $S$. We have obtain the exact mapping between spin $S=\\frac{p^{M}-1}{2}$ and a cluster of $M$ spins $\\sigma=\\frac{p-1}{2}$. We have discuss the possible applications of such transformations. In particular we have show how a general $d+1$ dimensional spin-$\\frac{p-1}{2}$ model with general interactions can be reduced to $d$-dimensional spin-$S$ model with $S=\\frac{p^{M}-1}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-22T00:16:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general method",
      "dimensional",
      "general interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physa.2011.09.003",
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2012,
      "month": "Feb",
      "volume": 391,
      "number": 3,
      "pages": 552
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhyA..391..552I"
    }
  }
}