Topological-antitopological fusion and the quantum cohomology of Grassmannians

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