I review the appearence of integrable structures in the formulation of exactnonperturbative solutions to $4d$ supersymmetric quantum gauge theories.Various examples of ${\cal N}\geq 2$ SUSY Yang-Mills nonperturbative solutionsare adequately described in terms of the (deformations of the) finite-gapsolutions to integrable models: through the generating differential and the$\tau$-function. One of the basic definitions of generating differential isdiscussed and its role in the theory of integrable systems is demonstrated.
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机译:我回顾了在$ 4d $超对称量子规范理论的精确非扰动解的制定中可积结构的出现。$ {\ cal N} \ geq 2 $ SUSY Yang-Mills非扰动解的各种例子都充分描述了( )可积模型的有限间隙解:通过生成微分和$ \ tau $函数。讨论了产生微分的基本定义之一,并证明了其在可积系统理论中的作用。
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