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Semi-classical Virasoro blocks: proof of exponentiation

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arxiv 1910.04169 v1 pith:TSK332US submitted 2019-10-09 hep-th

Mert Besken , Shouvik Datta , Per Kraus This is my paper · ORCID
classification hep-th
keywords blocksvirasoroconformallargealgebracentralchargederivations
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abstract

Virasoro conformal blocks are expected to exponentiate in the limit of large central charge $c$ and large operator dimensions $h_i$, with the ratios $h_i/c$ held fixed. We prove this by employing the oscillator formulation of the Virasoro algebra and its representations. The techniques developed are then used to provide new derivations of some standard results on conformal blocks.

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Cited by 3 Pith papers

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

  1. Virasoro OPE and Conformal Blocks from the Inverse Shapovalov Form

    hep-th 2025-09 conditional novelty 7.0 of 10

    A new explicit level-by-level series for four-point Virasoro conformal blocks on the sphere, with coefficients fixed by singular-vector weights, differing from Zamolodchikov recursion and AGT forms.

  2. Monodromy and geometry of heavy-light Virasoro blocks

    hep-th 2026-07 accept novelty 6.5 of 10

    Monodromy-matrix eigenvectors encode bulk geodesic endpoints, giving heavy-background-independent network equations and the full non-vacuum five-point HHLLL Virasoro block.

  3. Towards $W_3$ classical blocks with semi-degenerate operators

    hep-th 2025-12 conditional novelty 5.0 of 10

    Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.

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