{
  "annotation_id": "0943adc5-1da4-4315-8171-dce26498df5c",
  "date_created": "2026-03-02T18:02:50.628000Z",
  "date_modified": "2026-03-02T18:02:50.628000Z",
  "file_hash": "e8b311de16a2dc9a61e988ef482735f3627b35afde975b16d82ec062d61e5153",
  "private": false,
  "record": {
    "abstract": "Recently I quantized an elastica with Bernoulli-Euler functional in\ntwo-dimensional space using the modified KdV hierarchy. In this article, I will\nquantize a Willmore surface, or equivalently a surface with the Polyakov\nextrinsic curvature action, using the modified Novikov-Veselov (MNV) equation.\nIn other words, I show that the density of state of the partition function for\nthe quantized Willmore surface is expressed by volume of a subspace of the\nmoduli of the MNV equation.",
    "arxiv_id": "solv-int/9707007",
    "authors": [
      "Shigeki Matsutani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/15/021",
    "title": "On Density of State of Quantized Willmore Surface-A Way to Quantized   Extrinsic String in R^3",
    "url": "https://arxiv.org/abs/solv-int/9707007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1538bece-4318-4997-8c46-2433476ad027",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}