{
  "annotation_id": "44d69941-fb29-44ee-b45a-fdd1f7fad58f",
  "date_created": "2026-03-02T18:01:24.708000Z",
  "date_modified": "2026-03-02T18:01:24.708000Z",
  "file_hash": "5a955595029fbd15ee4da7096d2dfa3cc4fa2a5e6b60813c2b29a7d32a54ecab",
  "private": false,
  "record": {
    "abstract": "The decomposition of an arbitrary axiomatic topological quantum field theory\nor TQFT into indecomposable theories is given. In particular, unitary TQFT\u0027s in\narbitrary dimensions are shown to decompose into a sum of theories in which the\nHilbert space of the sphere is one-dimensional, and indecomposable\ntwo-dimensional theories are classified.",
    "arxiv_id": "q-alg/9505026",
    "authors": [
      "Stephen Sawin"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.531180",
    "journal_ref": "J.Math.Phys.36:6673-6680,1995",
    "title": "Direct Sum Decompositions and Indecomposable TQFT\u0027s",
    "url": "https://arxiv.org/abs/q-alg/9505026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2416106-baf3-416d-9e27-0c12b3234d3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}