{
  "annotation_id": "012ed9c5-09a0-46b2-82a4-b8f5e781353c",
  "date_created": "2026-03-02T18:02:51.209000Z",
  "date_modified": "2026-03-02T18:02:51.209000Z",
  "file_hash": "a49126b396857ab62ebb612882b4de6c97b6ea69869f54ce825895d9d980b2bd",
  "private": false,
  "record": {
    "abstract": "We study the conformal properties of the multi-constraint KP hierarchy and\nits nonstandard partner by covariantizing their corresponding Lax operators.\nThe associated second Hamiltonian structures turn out to be nonlocal extension\nof $W_n$ algebra by some integer or half-integer spin fields depending on the\norder of the Lax operators. In particular, we show that the complicated second\nHamiltonian structure of the nonstandard multi-constraint KP hierarchy can be\nsimplified by factorizing its Lax operator to multiplication form. We then\ndiagonalize this simplified Poisson matrix and obtain the free-field\nrealizations of its associated nonlocal algebras.",
    "arxiv_id": "solv-int/9708008",
    "authors": [
      "Jiin-Chang Shaw",
      "Ming-Hsien Tu"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1142/S0217751X98001384",
    "journal_ref": "Int. J. Mod. Phys. A13 (1998) 2723",
    "title": "Nonlocal extended conformal algebras associated with multi-constraint KP   hierarchy and their free-field realizations",
    "url": "https://arxiv.org/abs/solv-int/9708008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f786e928-64b3-4688-b282-156e5617ff2b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}