Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
F.Fucito, J. F. Morales, R.Poghossian, D. Ricci Pacifici
TL;DR
This paper explores the effects of Omega-backgrounds on N=2 supersymmetric SU(N) gauge theories, deriving non-commutative Seiberg-Witten curves to analyze their dynamics and correlators.
Contribution
It introduces a non-commutative deformation of Seiberg-Witten curves to study gauge theories in Omega-backgrounds, providing new analytical tools.
Findings
Derived prepotential and chiral correlators from non-commutative curves
Established saddle point analysis for gauge theory dynamics
Extended Seiberg-Witten theory to non-commutative geometries
Abstract
We study the dynamics of a N=2 supersymmetric SU(N) gauge theory with fundamental or adjoint matter in presence of a non trivial Omega-background along a two dimensional plane. The prepotential and chiral correlators of the gauge theory can be obtained, via a saddle point analysis, from an equation which can be viewed as a non commutative version of the "standard" Seiberg and Witten curve.
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