Witten's D_4 Integrable Hierarchies Conjecture

作     者：Huijun FAN Amanda FRANCIS Tyler JARVIS Evan MERRELL Yongbin RUAN 

作者机构：School of Mathematical Sciences Peking University Department of Mathematics Brigham Young University Department of Mathematics University of Michigan Ann Arbor the Yangtz Center of Mathematics at Sichuan University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2016年第37卷第2期

页      面：175-192页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11325101 11271028) the National Security Agency of USA(No.H98230-10-1-0181) the Doctoral Fund of the Ministry of Education of China(No.20120001110060) 

主　　题：Quantum cohomology Frobenius manifolds Singularity theory Integrable hierarchies 

摘      要：The authors prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D4 with symmetry group J and for D4T with symmetry group Gmax, respectively, are both tau-functions of the D4 Kac-Wakimoto/Drinfeld-Sokolov hierarchy. This completes the proof, begun in the article by Fan-Jarvis-Ruan（2013）, of the Witten Integrable Hierarchies Conjecture for all simple（ADE） singularities.