Witten's \(D_4\) integrable hierarchies conjecture (Q266178)
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scientific article; zbMATH DE number 6567952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Witten's \(D_4\) integrable hierarchies conjecture |
scientific article; zbMATH DE number 6567952 |
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Witten's \(D_4\) integrable hierarchies conjecture (English)
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13 April 2016
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The aim of this paper is to prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for \(D_4\) with symmetry group \(\langle J\rangle\) and for \(D^T_4\) with symmetry group Gmax, respectively, are both tau-functions of the \(D_4\) Kac-Wakimoto/Drinfeld-Sokolov hierarchy. This completes the proof, begun in the article by \textit{H. Fan} et al. [Ann. Math. (2) 178, No. 1, 1--106 (2013; Zbl 1310.32032)], of the Witten Integrable Hierarchies Conjecture for all simple (ADE) singularities.
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quantum cohomology
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Frobenius manifolds
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singularity theory
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integrable hierarchies
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