Seiberg-Witten period relations in Omega background

Abstract

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.

19 pages, 1 figure

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• Quantum integrability of $\mathcal{N}=2$ 4d gauge theories