We suggest an explanation for the part of the Satake Correspondence which relates the quantum cohomology of complex Grassmannians and the quantum cohomology of complex projective space, as well as their respective Stokes data, based on the original physics approach using the tt* equations. We also use the Stokes data of the tt* equations to provide a Lie-theoretic link between particles in affine Toda models and solitons in certain sigma-models. Along the way, we review some old ideas from supersymmetric field theory, whose mathematical manifestations are becoming increasingly widespread.

中文翻译：

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拓扑-反拓扑融合和格拉斯曼量程的量子上同调

我们建议对佐竹对应部分的解释，该部分基于使用 tt* 方程的原始物理方法，将复格拉斯曼函数的量子上同调和复射影空间的量子上同调以及它们各自的斯托克斯数据联系起来。我们还使用 tt* 方程的斯托克斯数据来提供仿射 Toda 模型中的粒子和某些 sigma 模型中的孤子之间的李理论联系。在此过程中，我们回顾了超对称场论中的一些旧思想，其数学表现形式正变得越来越广泛。