Topological-antitopological fusion and the quantum cohomology of Grassmannians

Martin A. Guest*

*この研究の対応する著者

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)155-183
ページ数29
ジャーナルJapanese Journal of Mathematics
16
1
DOI
出版ステータスPublished - 2021 1

ASJC Scopus subject areas

  • 数学 (全般)

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