Isomonodromy aspects of the tt∗equations of cecotti and vafa I. Stokes Data

Martin A. Guest*, Alexander R. Its, Chang Shou Lin

*この研究の対応する著者

研究成果: Article査読

7 被引用数 (Scopus)

抄録

We describe all smooth solutions of the two-function tt∗-Toda equations (a version of the tt∗equations or equations for harmonic maps into SLnR/SOn) in terms of (1) asymptotic data, (2) holomorphic data, and (3) monodromy data, and we compute all of this data explicitly. This allows us, in particular, to find all solutions with integral Stokes data. These include solutions associated to non-linear sigma models (quantum cohomology) or Landau-Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa in the 1990s.

本文言語English
ページ(範囲)11745-11784
ページ数40
ジャーナルInternational Mathematics Research Notices
2015
22
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • 数学 (全般)

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