{
  "abstract": "Recent years have witnessed substantial progress in the entanglement-based characterization of quantum phases of matter, with growing interest in real-space formulas due to their theoretical and experimental relevance. For two-dimensional gapped quantum systems, we propose a universal real-space formula for the chiral central charge based on the twist-operator correlator $Z_{g,h}=\\langleψ^{(N)}\\rvert\\mathcal{T}_A(g)\\mathcal{T}_B(h)\\mathcal{T}_C(g)\\mathcal{T}_C(h)\\lvertψ^{(N)}\\rangle$, where $\\lvertψ^{(N)}\\rangle=\\lvertψ\\rangle^{\\otimes N}$ is the $N$-copy state and $g,h\\in S_N$ are permutations. The twist operator $\\mathcal{T}_R(g)$ permutes the $N$ replicas within region $R$ according to $g$. For pairs $(g,h)$ satisfying the spherical condition, we show that the phase of the correlator is determined by the chiral central charge $\\mathfrak{c}_{-}$ through $Z_{g,h}/\\left\\lvert Z_{g,h}\\right\\rvert=(θ_gθ_h/θ_{gh})^{\\mathfrak{c}_{-}}$, where $θ_g^{\\mathfrak{c}_{-}}$ is the topological spin of the twist defect labeled by $g\\in S_N$. The construction applies to both bosonic and fermionic systems. We derive the formula within a field-theoretic framework under suitable assumptions and further test it numerically in microscopic lattice models. Our results establish a universal connection between real-space entanglement structures and the chiral central charge, providing a systematic framework for characterizing chiral topological phases directly on the lattice.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08788",
  "author_total": 1,
  "authors": [
    {
      "name": "Yunlong Zang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c7mn0hyn8xbmp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08788",
  "fulltext_url": null,
  "id": "c7mn0hyn8xbmp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08788",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7221048874",
  "pdf_url": "https://arxiv.org/pdf/2610.08788",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c7mn0hyn8xbmp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.08788",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08788"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Chiral Central Charge from Real-Space Twist Operator Correlator",
  "title_text": "Chiral Central Charge from Real-Space Twist Operator Correlator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/c7mn0hyn8xbmp",
  "venue": "arXiv",
  "versions": []
}