论文标题

tt*-toda方程的解决方案和标志歧管的量子共同学

Solutions of the tt*-Toda Equations and Quantum Cohomology of Flag Manifolds

论文作者

Kaneko, Yoshiki

论文摘要

我们将微小标志歧管的量子共同学与TT*-TODA方程(cecotti和vafa在研究超对称量子场理论的研究中引入)的特殊情况。为此,我们结合了来宾的TT*-TODA方程的谎言理论处理,以及对Chaput-Manivel-Perrin和Golyshev-Manivel的微小旗歧管量子共同体的谎言理论描述。

We relate the quantum cohomology of minuscule flag manifolds to the tt*-Toda equations, a special case of the topological-antitopological fusion equations which were introduced by Cecotti and Vafa in their study of supersymmetric quantum field theories. To do this, we combine the Lie-theoretic treatment of the tt*-Toda equations of Guest-Ho with the Lie-theoretic description of the quantum cohomology of minuscule flag manifolds from Chaput-Manivel-Perrin and Golyshev-Manivel.

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