Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data
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DOI：
10.1093/imrn/rnu250
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发表时间：
2012-09
影响因子：
1
通讯作者：
M. Guest;A. Its;Changshou Lin
中科院分区：
文献类型：
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作者：
M. Guest;A. Its;Changshou Lin
我们用（i）渐近数据，（ii）全纯数据和（iii）单值数据描述了双函数tt*-户田方程（tt* 方程的一个版本，或调和映射到SL（n，R）/SO（n）的方程）的所有光滑解.这使我们能够找到积分斯托克斯数据的所有解决方案。这些包括与非线性sigma模型（量子上同调）或朗道-金斯堡模型（奇异点的展开）相关的解决方案，如Cecotti和Vafa所述。
We describe all smooth solutions of the two-function tt*-Toda equations (a version of the tt* equations, or equations for harmonic maps into SL(n,R)/SO(n)) in terms of (i) asymptotic data, (ii) holomorphic data, and (iii) monodromy data. This allows us to find all solutions with integral Stokes data. These include solutions associated to nonlinear sigma models (quantum cohomology) or Landau-Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa.