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arXiv · 1008.0927

Witten's D_4 Integrable Hierarchies Conjecture

Huijun Fan·Amanda Francis·Tyler J. Jarvis·Evan Merrell·Yongbin Ruan
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Abstract

We prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D_4 with symmetry group and D_4^T with symmetry group G_{max}, respectively, are both tau-functions of the D_4 Kac-Wakimoto/Drinfeld-Sokolov hierarchy. This completes the proof, begun in [FJR], of the Witten Integrable Hierarchies Conjecture for all simple (ADE) singularities.

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Huijun Fan, Amanda Francis, Tyler J. Jarvis, Evan Merrell, Yongbin Ruan. 2010-08-05. Witten's D_4 Integrable Hierarchies Conjecture. https://arxiv.org/abs/1008.0927

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