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Partition Functions of Three-Dimensional Pure Gravity

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

The three-dimensional pure quantum gravity with a negative cosmological constant has been conjectured to be dual to an extremal conformal field theory (ECFT), of central charge c=24k for some positive integer k. We compute the partition function of the dual ECFT by summing over gravitational instanton contributions. In particular, we conjecture an exact expression for the contribution from handlebodies to the partition function for all genera and all values of k, and provide nontrivial evidences for the conjecture at genus two.

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fields

hep-th 2

years

2026 1 2025 1

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UNVERDICTED 2

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representative citing papers

Spinning States and Unitarity in 3D Gravity

hep-th · 2026-04-16 · unverdicted · novelty 6.0

Spinning states scaled with central charge cancel negative densities in 3D gravity, reinterpreted as bulk defects or overspinning BTZ quotients of AdS3 that preserve the gap but exhibit causal pathologies.

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Showing 2 of 2 citing papers.

  • Spinning States and Unitarity in 3D Gravity hep-th · 2026-04-16 · unverdicted · none · ref 12

    Spinning states scaled with central charge cancel negative densities in 3D gravity, reinterpreted as bulk defects or overspinning BTZ quotients of AdS3 that preserve the gap but exhibit causal pathologies.

  • Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity hep-th · 2025-02-18 · unverdicted · none · ref 7 · internal anchor

    Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.