{
  "slug": "timelike-entanglement-in-2d-cft-714012",
  "title": "Timelike Entanglement in 2d CFT",
  "dek": "A 2d CFT construction analytically continues replica twist correlators to timelike, time-ordered insertions and matches them to complex geodesics in 3d holography.",
  "summary": "Timelike entanglement in 2d CFT via twist correlators, complex geodesics, Rényi n>1 branes, and AdS-Vaidya checks.",
  "tags": [
    "timelike-entanglement",
    "renyi-entropy",
    "2d-cft",
    "replica-twist-correlators",
    "analytic-continuation",
    "time-ordering",
    "timelike-separated-insertions",
    "three-dimensional-holography",
    "complex-geodesics",
    "complex-extremal-surfaces",
    "complex-cosmic-brane",
    "ads-vaidya",
    "operator-ordering",
    "causal-structure",
    "c-pi-over-6"
  ],
  "published_at": "2026-07-19T00:04:46.501+00:00",
  "grade": 8.1,
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    "faq_questions": [
      "What is the main result?",
      "How is timelike entanglement defined in the boundary CFT?",
      "What is the holographic saddle prescription?",
      "Does the construction include Rényi index n>1?",
      "Which examples are explicitly mentioned?",
      "What is special about AdS-Vaidya?",
      "What fixes the imaginary part of the complex entropy?",
      "Why are no paper metadata or named citations included?"
    ],
    "entity_names": [
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        "name": "Official paper title",
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      {
        "name": "Authors",
        "type": "metadata_status"
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      {
        "name": "arXiv identifier",
        "type": "metadata_status"
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      {
        "name": "DOI",
        "type": "metadata_status"
      },
      {
        "name": "Timelike entanglement entropy",
        "type": "concept"
      },
      {
        "name": "Rényi extension",
        "type": "concept"
      },
      {
        "name": "Two-dimensional conformal field theory",
        "type": "framework"
      },
      {
        "name": "Analytic continuation",
        "type": "method"
      },
      {
        "name": "Replica twist correlators",
        "type": "object"
      },
      {
        "name": "Time-ordered insertions",
        "type": "condition"
      },
      {
        "name": "Timelike-separated insertions",
        "type": "condition"
      },
      {
        "name": "Temporal subregions of arbitrary extent",
        "type": "scope"
      },
      {
        "name": "Three-dimensional holography",
        "type": "framework"
      },
      {
        "name": "Semiclassical boundary correlator",
        "type": "object"
      },
      {
        "name": "Boundary-anchored complex geodesics",
        "type": "bulk_saddle"
      },
      {
        "name": "Smallest real part of the length",
        "type": "selection_rule"
      },
      {
        "name": "Complex extremal surface prescription",
        "type": "prescription"
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      {
        "name": "Rényi index n>1",
        "type": "parameter"
      },
      {
        "name": "Complex cosmic brane geometry",
        "type": "bulk_geometry"
      },
      {
        "name": "Vacuum",
        "type": "state"
      },
      {
        "name": "Locally excited states",
        "type": "example_setting"
      },
      {
        "name": "Globally excited states",
        "type": "example_setting"
      },
      {
        "name": "Quantum operator quenches",
        "type": "example_setting"
      },
      {
        "name": "AdS-Vaidya",
        "type": "example_setting"
      },
      {
        "name": "Earlier piecewise geodesic constructions",
        "type": "unnamed_related_work"
      },
      {
        "name": "Operator ordering",
        "type": "condition"
      },
      {
        "name": "Imaginary part of complex-valued entropy",
        "type": "quantity"
      },
      {
        "name": "Central charge c",
        "type": "parameter"
      },
      {
        "name": "Effective causal structure",
        "type": "concept"
      },
      {
        "name": "Underlying dynamics",
        "type": "concept"
      }
    ],
    "related_work_titles": [
      "Recent developments on timelike entanglement entropy — unnamed in abstract",
      "Proposed complex extremal surface prescription — unnamed in abstract",
      "Earlier piecewise geodesic constructions in AdS-Vaidya — unnamed in abstract",
      "Boundary twist correlator versus bulk complex geodesic checks — citation unavailable from abstract"
    ],
    "application_industries": [
      "Theoretical physics research",
      "AdS3/CFT2 holography",
      "Holographic entropy methods",
      "Rényi-entropy studies",
      "Dynamical holography and quenches"
    ],
    "glossary_terms": [
      "Timelike entanglement entropy",
      "Rényi extension",
      "2d CFT",
      "Replica twist correlators",
      "Analytic continuation",
      "Time ordering",
      "Timelike-separated insertions",
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      "Boundary-anchored complex geodesic",
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      "Complex extremal surface prescription",
      "Complex cosmic brane geometry",
      "AdS-Vaidya",
      "Locally excited state",
      "Globally excited state",
      "Quantum operator quench",
      "Central charge",
      "Effective causal structure"
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