{
  "annotation_id": "75f41fc2-2cba-49e1-b75d-970d8b2805b3",
  "date_created": "2026-02-17T05:53:15.845000Z",
  "date_modified": "2026-02-17T05:53:15.845000Z",
  "file_hash": "405a2742738a5893d73c072115b3f071b96d9df153691df9af10b79d0d29351b",
  "private": false,
  "record": {
    "abstract": "We study a six-dimensional Kaluza-Klein theory with spacetime topology $M_4 \\times S^2$ and analyze the gauge sector arising from dimensional reduction. Using normalized Killing vectors on $S^2$, we explicitly construct the reduced Yang-Mills action and determine the corresponding gauge kinetic matrix. Despite the $SO(3)$ isometry of $S^2$, we show that only two physical gauge fields propagate in four dimensions. The gauge kinetic matrix therefore has rank two and possesses a single zero eigenvalue. We demonstrate that this degeneracy is a direct consequence of the coset structure $S^2 \\simeq SO(3)/SO(2)$ and reflects a non-dynamical gauge direction rather than an inconsistency of the reduction. Our results clarify the geometric origin of gauge degrees of freedom in Kaluza-Klein reductions on coset spaces.",
    "arxiv_id": "2601.08443",
    "authors": [
      "Tekin Dereli",
      "Yorgo Senikoglu"
    ],
    "categories": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "An Explicit Kaluza-Klein Reduction of Einstein\u0027s Gravity in $6D$ on $S^2$",
    "url": "https://arxiv.org/abs/2601.08443",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "feac4431-ce31-4588-98ea-489125b5ed84",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}