Deformed Seiberg-Witten Curves for ADE Quivers
Francesco Fucito, Jose F. Morales, Daniel Ricci Pacifici

TL;DR
This paper derives quantum-deformed Seiberg-Witten equations for N=2 ADE quiver gauge theories in an Omega-background, enabling extraction of prepotentials and correlators from difference equations.
Contribution
It introduces a non-commutative version of Seiberg-Witten curves for ADE quivers, linking difference equations to gauge theory dynamics in a deformed setting.
Findings
Derived difference equations encoding gauge theory dynamics.
Connected non-commutative curves to prepotentials and correlators.
Provided a framework for analyzing N=2 ADE quiver theories in Omega-background.
Abstract
We derive Seiberg-Witten like equations encoding the dynamics of N=2 ADE quiver gauge theories in presence of a non-trivial Omega-background along a two dimensional plane. The epsilon-deformed prepotential and the chiral correlators of the gauge theory are extracted from difference equations that can be thought as a non-commutative (or quantum) version of the Seiberg-Witten curves for the quiver.
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