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An analog of a modular functor from quantized Teichm"uller theory

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arxiv math/0510174 v4 pith:LMXPZD3R submitted 2005-10-09 math.QA hep-th

J. Teschner This is my paper · ORCID
classification math.QAhep-th
keywords functormodularquantizedteichmulleranalogdefinitionfactorization
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It is shown that the quantized Teichm"uller spaces have factorization properties like those required in the definition of a modular functor.

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Cited by 3 Pith papers

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  1. QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow

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    Condensing a diagonal anyon in Virasoro TQFT factorizes wormhole partition functions and produces Liouville CFT on the two boundary surfaces.

  3. Wilson Towers as Local Bulk Fields

    hep-th 2026-07 conditional novelty 5.0 of 10

    A multi-winding Wilson loop in thermal AdS3 is re-expressed as a sum over single-winding Wilson loops, one per multi-trace primary, so a free bulk field becomes a tower of Wilson lines.

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