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Painlev\'e/CFT correspondence on a torus

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arxiv 2305.04240 v1 pith:JVURZ4AO submitted 2023-05-07 math-ph hep-thmath.MPnlin.SI

Harini Desiraju This is my paper
classification math-phhep-thmath.MPnlin.SI
keywords torusauthorblocksconformalcorrespondencedetailsicmpisomonodromic
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This note details the relationship between the isomonodromic tau-function and conformal blocks, on a torus with one simple pole. It is based on the author's talk at ICMP 2021.

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Cited by 2 Pith papers

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

  1. A Tau function for $q$-Painlev\'e VI as a Fredholm determinant

    math-ph 2026-08 conditional novelty 8.0 of 10

    The q-Painleve VI tau function is constructed analytically as a Fredholm determinant, with zeros detecting non-solvability of the underlying Riemann-Hilbert problem.

  2. Modular transformations of tau functions and conformal blocks on the torus

    math-ph 2025-08 conditional novelty 8.0 of 10

    The paper derives the modular connection constant for tau functions on the one-punctured torus and obtains an exact closed formula for the c=1 Virasoro modular kernel.

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