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Instantons on ALE spaces and Super Liouville Conformal Field Theories

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arxiv 1106.2505 v1 pith:LAHIOT4T submitted 2011-06-13 hep-th math-phmath.AGmath.MP

classification hep-thmath-phmath.AGmath.MP
keywords conformalfieldliouvillesuperblocksdescribedevidencefunction
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We provide evidence that the conformal blocks of N=1 super Liouville conformal field theory are described in terms of the SU(2) Nekrasov partition function on the ALE space O_{P^1}(-2).

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Cited by 3 Pith papers

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  1. 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.

  2. Kac-Moody algebras from M5-giants

    hep-th 2025-08 conditional novelty 6.0 of 10

    The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.

  3. Refined Painlev\'e/gauge theory correspondence and quantum tau functions

    hep-th 2025-02 conditional novelty 6.0 of 10

    Strong-coupling expansions of N=2 SU(2) partition functions in general Omega-background are derived from quantum Painlevé equations obtained via C2/Z2 blowup relations, and match refined holomorphic anomaly and irregu...

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