{
  "annotation_id": "68580cce-b12b-4fb1-9651-d4b2814fcc0d",
  "date_created": "2026-03-02T18:01:28.588000Z",
  "date_modified": "2026-03-02T18:01:28.588000Z",
  "file_hash": "24aa3f47263ed4a2c3aee02830e8dfce965314ba18873fb5dd65c00e9624b63f",
  "private": false,
  "record": {
    "abstract": "The spectral decomposition of the path space of the vertex model associated\nto the vector representation of the quantized affine algebra $U_q(\\hat{sl}_n)$\nis studied. We give a one-to-one correspondence between the spin configurations\nand the semi-standard tableaux of skew Young diagrams. As a result we obtain a\nformula of the characters for the degeneracy of the spectrum in terms of skew\nSchur functions. We conjecture that our result describes the $sl_n$-module\ncontents of the Yangian $Y(sl_n)$-module structures of the level 1 integrable\nmodules of the affine Lie algebra $\\hat{sl}_n$. An analogous result is obtained\nalso for a vertex model associated to the quantized twisted affine algebra\n$U_q(A^{(2)}_{2n})$, where $Y(B_n)$ characters appear for the degeneracy of the\nspectrum. The relation to the spectrum of the Haldane-Shastry and the\nPolychronakos models are also discussed.",
    "arxiv_id": "q-alg/9607027",
    "authors": [
      "Anatol N. Kirillov",
      "Atsuo Kuniba",
      "Tomoki Nakanishi"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050098",
    "journal_ref": "Commun.Math.Phys. 185 (1997) 441-465",
    "title": "Skew Young diagram method in spectral decomposition of integrable   lattice models",
    "url": "https://arxiv.org/abs/q-alg/9607027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40c894e0-dffb-4fa5-bab0-7ec55f2b5ba6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}