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Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

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arxiv 1105.5800 v2 pith:KNWYOPZZ submitted 2011-05-29 hep-th

V.Belavin , B.Feigin This is my paper
classification hep-th
keywords blocksconformaltheoriesadditionalcasecellsconjecturecorrespondence
verification ladder T0 review T1 audit T2 compute T3 formal
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The conjecture about the correspondence between instanton partition functions in the N=2 SUSY Yang-Mills theory and conformal blocks of two-dimensional conformal field theories is extended to the case of the N=1 supersymmetric conformal blocks. We find that the necessary modification of the moduli space of instantons requires additional restriction of Z(2)-symmetry. This leads to an explicit form of the N=1 superconformal blocks in terms of Young diagrams with two sorts of cells.

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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.

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