{
  "annotation_id": "d9ef532a-25d3-4a57-a8b2-6853e9e3f7db",
  "date_created": "2026-03-02T18:02:51.355000Z",
  "date_modified": "2026-03-02T18:02:51.355000Z",
  "file_hash": "3cbaeb20fc8dbcc052fdcf6b8dda947415516909bfa0e840492dba09d6d1668e",
  "private": false,
  "record": {
    "abstract": "We argue that one of the basic ingredients for the appearance of soliton\nsolutions in integrable hierarchies, is the existence of ``vacuum solutions\u0027\u0027\ncorresponding to Lax operators lying in some abelian subalgebra of the\nassociated affine Kac-Moody algebra. Using the dressing transformation we\nconstruct the solutions in the orbit of those vacuum solutions, and conjecture\nthat the solitons correspond to some special points in those orbits. The\ngeneralized tau-function for those hierarchies are defined for integrable\nhighest weight representations. It applies for any level of the representation.\nWe illustrate our methods with the recently proposed non abelian Toda models\ncoupled to matter fields. A very special class of such theories possess a U(1)\nNoether charge that is proportional to a topological charge. That leads to a\nmechanism that confines the matter fields inside the solitons.",
    "arxiv_id": "solv-int/9701006",
    "authors": [
      "Luiz A. Ferreira",
      "Joaquin Sanchez Guillen"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "title": "Aspects of Solitons in Affine Integrable Hierarchies",
    "url": "https://arxiv.org/abs/solv-int/9701006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c785e653-6ec2-4af6-8a92-e850de7a56ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}