Witten's D_4 Integrable Hierarchies Conjecture
Algebraic Geometry
2014-06-06 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D_4 with symmetry group <J> 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.
Cite
@article{arxiv.1008.0927,
title = {Witten's D_4 Integrable Hierarchies Conjecture},
author = {Huijun Fan and Amanda Francis and Tyler J. Jarvis and Evan Merrell and Yongbin Ruan},
journal= {arXiv preprint arXiv:1008.0927},
year = {2014}
}
Comments
Corrected several errors and added more details in proofs and exposition