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

Martin Guest, Alexander R. Its, Chang Shou Lin

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)11745-11784
    Number of pages40
    JournalInternational Mathematics Research Notices
    Volume2015
    Issue number22
    DOIs
    Publication statusPublished - 2015

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    Stokes
    Quantum Cohomology
    Ginzburg-Landau Model
    Nonlinear sigma Model
    Harmonic Maps
    Monodromy
    Smooth Solution
    Unfolding
    Singularity

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Isomonodromy aspects of the tt∗equations of cecotti and vafa I. Stokes Data. / Guest, Martin; Its, Alexander R.; Lin, Chang Shou.

    In: International Mathematics Research Notices, Vol. 2015, No. 22, 2015, p. 11745-11784.

    Research output: Contribution to journalArticle

    Guest, Martin ; Its, Alexander R. ; Lin, Chang Shou. / Isomonodromy aspects of the tt∗equations of cecotti and vafa I. Stokes Data. In: International Mathematics Research Notices. 2015 ; Vol. 2015, No. 22. pp. 11745-11784.
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