Topological-antitopological fusion and the quantum cohomology of Grassmannians

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)155-183
Number of pages29
JournalJapanese Journal of Mathematics
Volume16
Issue number1
DOIs
Publication statusPublished - 2021 Jan

Keywords

  • Satake correspondence
  • quantum cohomology
  • tt* equations

ASJC Scopus subject areas

  • Mathematics(all)

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