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From Liouville Theory to the Quantum Geometry of Riemann Surfaces

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arxiv hep-th/0308031 v3 pith:BZFXDVXB submitted 2003-08-05 hep-th

From Liouville Theory to the Quantum Geometry of Riemann Surfaces

classification hep-th
keywords liouvilleriemannsurfacestheoryconformalcontextcorrelationfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The aim of this note is to propose an interpretation for the full (non-chiral) correlation functions of the Liouville conformal field theory within the context of the quantization of spaces of Riemann surfaces.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  2. On the Virasoro Crossing Kernels at Rational Central Charge

    hep-th 2025-12 conditional novelty 8.0

    At rational central charge, the Virasoro crossing kernels decompose into two admissible square-root-branched kernels; the physical c≤1 kernels are derived for the first time.

  3. A solvable model of 3d quantum gravity

    hep-th 2026-05 unverdicted novelty 7.0

    A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states ...