{
  "annotation_id": "a8860561-d220-4033-bdf1-8784747e7ee2",
  "date_created": "2026-03-02T18:01:24.716000Z",
  "date_modified": "2026-03-02T18:01:24.716000Z",
  "file_hash": "3ea58b0882852ef8fe0baca2a9bcd4ed8878efd19c70ebe2a1b81259e2da3678",
  "private": false,
  "record": {
    "abstract": "Recently we suggested a new quantum algebra, the moduli algebra, which was\nconjectured to be a quantum algebra of observables of the Hamiltonian Chern\nSimons theory. This algebra provides the quantization of the algebra of\nfunctions on the moduli space of flat connections on a 2-dimensional surface.\nIn this paper we classify unitary representations of this new algebra and\nidentify the corresponding representation spaces with the spaces of conformal\nblocks of the WZW model. The mapping class group of the surface is proved to\nact on the moduli algebra by inner automorphisms. The generators of these\nautomorphisms are unitary elements of the moduli algebra. They are constructed\nexplicitly and proved to satisfy the relations of the (unique) central\nextension of the mapping class group.",
    "arxiv_id": "q-alg/9503016",
    "authors": [
      "A. Yu. Alekseev",
      "V. Schomerus"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Representation Theory of Chern Simons Observables",
    "url": "https://arxiv.org/abs/q-alg/9503016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da683b41-cee2-4f11-b1e1-354f509e9459",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}