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From Nonperturbative SUSY Gauge Theories to Integrable Systems

A. Marshakov
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Abstract

I review the appearence of integrable structures in the formulation of exact nonperturbative solutions to $4d$ supersymmetric quantum gauge theories. Various examples of ${\cal N}\geq 2$ SUSY Yang-Mills nonperturbative solutions are adequately described in terms of the (deformations of the) finite-gap solutions to integrable models: through the generating differential and the $τ$-function. One of the basic definitions of generating differential is discussed and its role in the theory of integrable systems is demonstrated.

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A. Marshakov. 1996-07-18. From Nonperturbative SUSY Gauge Theories to Integrable Systems. https://arxiv.org/abs/hep-th/9607159

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