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Seiberg-Witten period relations in Omega background

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arxiv 1711.07570 v2 pith:QYJ5NISY submitted 2017-11-20 hep-th math-phmath.MPnlin.SI

Jean-Emile Bourgine , Davide Fioravanti This is my paper
classification hep-thmath-phmath.MPnlin.SI
keywords seiberg-wittenactingrelationsspacebackgroundcertaincurvedefine
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Omega-deformation of the Seiberg-Witten curve is known to be written in terms of the qq-character, namely the trace of a specific operator acting in a Hilbert space spanned by certain Young diagrams. We define a differential form acting on this space and establish two discretised versions of the Seiberg-Witten expressions for the periods and related relations for the prepotential.

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  1. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

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