{
  "abstract": "We consider a nonrelativistic gravity theory in (2+1) dimensions with $w_\\infty$ gauge symmetry that we call unimodular Hořava-Chern-Simons gravity. The theory has three dimensionless couplings, one of which is the Chern-Simons level $κ$. At large $|κ|$, the theory flows from an asymptotically free UV fixed point to an IR fixed point with anisotropic scale invariance characterized by a dynamical critical exponent $z=2-\\tfrac32|κ|^{-1}$. We speculate that unimodular Hořava-Chern-Simons gravity undergoes a phase transition from this scale-invariant phase to a confining phase when $κ$ drops below a critical value.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34024",
  "author_total": 2,
  "authors": [
    {
      "name": "Maxim Zelenko"
    },
    {
      "name": "Dam Thanh Son"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2s9acjz1sw7da.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34024",
  "fulltext_url": null,
  "id": "2s9acjz1sw7da",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34024",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7223914448",
  "pdf_url": "https://arxiv.org/pdf/2610.34024",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2s9acjz1sw7da.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34024",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34024"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model",
  "title_text": "Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/2s9acjz1sw7da",
  "venue": "arXiv",
  "versions": []
}