Title: Differential equations and deformations of supersymmetric QFT
Abstract: There is a connection between N=2 supersymmetric field theory in four dimensions and the theory of linear differential and difference equations with meromorphic coefficients. This connection is surprisingly rich, and has been studied by many different authors from different perspectives. One way of understanding it is as an instance of the general phenomenon that turning on Omega-background naturally quantizes algebraic structures in the operator algebras of supersymmetric QFT. I will recall this connection and describe some of its uses, along with some recent and ongoing extensions of the story.
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