论文标题
拓扑结构融合和硕士学位
Topological-antitopological fusion and the quantum cohomology of Grassmannians
论文作者
论文摘要
我们建议对Satake对应的一部分的解释，该解释将复杂的Grassmannians的量子共同体与复杂的投射空间的量子共同体及其各自的Stokes数据有关，并基于使用TT*方程的原始物理方法。我们还使用TT*方程的Stokes数据来提供仿射TODA模型中粒子与某些Sigma模型中的孤子之间的谎言理论联系。在此过程中，我们说明了TT*方程，非亚伯杂货的对应关系和量子共同体之间的一些（众所周知的）关系。
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 illustrate some (well known) relations between the tt* equations, the non-abelian Hodge Correspondence, and quantum cohomology.
