{
  "id": "math-ph/0210014",
  "version": "v1",
  "published": "2002-10-08T08:23:20.000Z",
  "updated": "2002-10-08T08:23:20.000Z",
  "title": "Rigged configurations and the Bethe Ansatz",
  "authors": [
    "Anne Schilling"
  ],
  "comment": "24 pages; lecture notes; axodraw style file required",
  "journal": "B. Lulek, T. Lulek and A. Wal (Eds), \"Symmetry and Structural Properties of Condensed Matter\", Vol. 7, World Scientific, Singapore 2003; pp. 201-224",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "These notes arose from three lectures presented at the Summer School on Theoretical Physics \"Symmetry and Structural Properties of Condensed Matter\" held in Myczkowce, Poland, on September 11-18, 2002. We review rigged configurations and the Bethe Ansatz. In the first part, we focus on the algebraic Bethe Ansatz for the spin 1/2 XXX model and explain how rigged configurations label the solutions of the Bethe equations. This yields the bijection between rigged configurations and crystal paths/Young tableaux of Kerov, Kirillov and Reshetikhin. In the second part, we discuss a generalization of this bijection for the symmetry algebra $D_n^{(1)}$, based on work in collaboration with Okado and Shimozono.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-08T08:23:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "05A19",
      "05E10",
      "17B37"
    ],
    "keywords": [
      "crystal paths/young tableaux",
      "algebraic bethe ansatz",
      "second part",
      "summer school",
      "bethe equations"
    ],
    "tags": [
      "journal article",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 610165,
      "adsabs": "2003sspc.conf..201S"
    }
  }
}