{
  "annotation_id": "48b41292-4458-4764-bf07-c2e98bca548f",
  "date_created": "2026-03-02T18:01:28.361000Z",
  "date_modified": "2026-03-02T18:01:28.361000Z",
  "file_hash": "968524bb62ec4f7a0b35407f9f28dd97adf9f393c58c3ec9661cef2131c8daa4",
  "private": false,
  "record": {
    "abstract": "We give three applications of general theory about braided endomorphisms from\nconformal inclusions developed previously by us. The first is an example of\nsubfactors associated with conformal inclusion whose dual fusion ring is\nnon-commutative. In the second application we show that the Kac-Wakimoto\nhypothesis about certain relations between branching rules and S-matrices,\nwhich has existed for almost a decade, is not true in at least three examples.\nFinally we show that the fusion rings of subfactors associated with the\nconformal inclusions $SU(n)_{(n+2)}\\subset SU(n(n+1)/2)$ and $SU(n+2)_n\\subset\nSU((n+1)(n+2)/2)$ are canonically isomorphic using a version of level-rank\nduality.",
    "arxiv_id": "q-alg/9708011",
    "authors": [
      "Feng Xu"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/s002200050302",
    "title": "Applications of braided endomorphisms from conformal inclusions",
    "url": "https://arxiv.org/abs/q-alg/9708011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "507dc2ab-0f79-481d-b83a-34ca705c9863",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}