Witten's D_4 Integrable Hierarchies Conjecture

Details Witten's D_4 Integrable Hierarchies Conjecture Witten's D_4 Integrable Hierarchies Conjecture

2010-08-05

arxiv.org/abs/1008.0927v1

Mathematics

Algebraic Geometry

19 pages, 3 figures

Scientific paper

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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