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arXiv · 2109.00765

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

Martin A. Guest·Takashi Otofuji
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Abstract

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.)

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Martin A. Guest, Takashi Otofuji. 2021-09-02. Positive energy representations of affine algebras and Stokes matrices of the affine Toda equations. https://arxiv.org/abs/2109.00765

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