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Recursive Representations of Arbitrary Virasoro Conformal Blocks

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arxiv 1703.09805 v4 pith:EPMBMYTM submitted 2017-03-28 hep-th

classification hep-th
keywords blocksconformalrecursiverepresentationsvirasoroarbitrarychannelsphere
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive recursive representations in the internal weights of N-point Virasoro conformal blocks in the sphere linear channel and the torus necklace channel, and recursive representations in the central charge of arbitrary Virasoro conformal blocks on the sphere, the torus, and higher genus Riemann surfaces in the plumbing frame.

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Cited by 5 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. Blowing-up the edge: connection formulae and stability chart of the Lam\'e equation

    hep-th 2025-07 conditional novelty 7.0 of 10

    The paper derives the resummed Nekrasov-Shatashvili free energy from blow-up equations and uses it to compute the band-gap structure, connection formulas, and stability chart of the Lamé equation.

  3. Exponentiation of higher-point and higher-genus Virasoro conformal blocks in the semiclassical limit

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Extends the exponentiation of Virasoro conformal blocks in the semiclassical limit to higher-point and higher-genus cases at the level of formal power series using an extended oscillator method.

  4. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

  5. Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

    math-ph 2024-11 unverdicted

    A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.

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