{
  "annotation_id": "5e148772-d37e-43dd-819d-48a9c13de7b8",
  "date_created": "2026-03-02T18:01:28.848000Z",
  "date_modified": "2026-03-02T18:01:28.848000Z",
  "file_hash": "ec161cfd210e5af6ee9d0b088f1ad433f595d53d21a1fb1d09219ea8a316a287",
  "private": false,
  "record": {
    "abstract": "We consider the discrete Knizhnik-Zamolodchikov connection (qKZ) associated\nto $gl(N)$, defined in terms of rational R-matrices. We prove that under\ncertain resonance conditions, the qKZ connection has a non-trivial invariant\nsubbundle which we call the subbundle of quantized conformal blocks. The\nsubbundle is given explicitly by algebraic equations in terms of the Yangian\n$Y(gl(N))$ action. The subbundle is a deformation of the subbundle of conformal\nblocks in CFT. The proof is based on an identity in the algebra with two\ngenerators $x,y$ and defining relation $xy=yx+yy$.",
    "arxiv_id": "q-alg/9710039",
    "authors": [
      "E. Mukhin",
      "A. Varchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Lett.Math.Phys. 44 (1998) 157-167",
    "title": "Quantization of the space of conformal blocks",
    "url": "https://arxiv.org/abs/q-alg/9710039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6c3115d6-9ede-4e35-aad3-1ee67f3f9792",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}