Nonlinear PDE aspects of the tt* equations of cecotti and vafa

Martin A. Guest, Chang Shou Lin

研究成果: Article査読

9 被引用数 (Scopus)

抄録

Using nonlinear pde techniques, we construct a new family of globally smooth tt* structures. This includes tt* structures associated to the (orbifold) quantum cohomology of a finite number of complex projective spaces and weighted projective spaces. The existence of such "magical solutions" of the tt* equations, namely smooth solutions characterised by asymptotic boundary conditions, was predicted by Cecotti and Vafa. In our situation, the tt* equations belong to a class of equations which we call the tt-Toda lattice. Solutions of the tt-Toda lattice are harmonic maps which have dual interpretations as Frobenius structures or variations of (semi-infinite) Hodge structures.

本文言語English
ページ(範囲)1-32
ページ数32
ジャーナルJournal fur die Reine und Angewandte Mathematik
689
DOI
出版ステータスPublished - 2014 4月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

フィンガープリント

「Nonlinear PDE aspects of the tt* equations of cecotti and vafa」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル