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arXiv 2109.00765math.DGhep-thmath.RT
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仿射Toda方程的仿射代数和Stokes矩阵的正能量表示

Positive energy representations of affine algebras and Stokes matrices of the affine Toda equations

Martin A. Guest, Takashi Otofuji

摘要:

本文给出了一个构造,它从A_n型tt ~*-Toda方程解的Stokes数据产生A_n型仿射李代数的正能量表示。这种结构似乎在共形域论中起作用。我们用几个例子来说明这一点:融合环,W-代数极小模型(阿盖尔-道格拉斯理论),以及拓扑-反拓扑融合本身。(此版本的排版略有变化。)

英文摘要:

We give a construction which produces a positive energy representation of the affine Lie algebra of type A_n from the Stokes data of a solution of the tt*-Toda equations of type A_n. The construction appears to play a role in conformal field theory. We illustrate this with several examples: the fusion ring, W-algebra minimal models (Argyres-Douglas theory), as well as topological-antitopological fusion itself. (Minor typographical changes for this version.)

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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