Quantum fields presentation and generating functions of symplectic Schur functions and symplectic universal characters  

作　　者：Denghui Li Fei Wang Zhaowen Yan 李登慧;王菲;颜昭雯(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China

出　　处：《Chinese Physics B》2022年第8期197-206,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11965014 and 12061051);the National Science Foundation of Qinghai Province,China(Grant No.2021-ZJ-708)。

摘　　要：This paper is concerned with construction of quantum fields presentation and generating functions of symplectic Schur functions and symplectic universal characters.The boson-fermion correspondence for these symmetric functions have been presented.In virtue of quantum fields,we derive a series of infinite order nonlinear integrable equations,namely,universal character hierarchy,symplectic KP hierarchy and symplectic universal character hierarchy,respectively.In addition,the solutions of these integrable systems have been discussed.

关 键 词：quantum fields generating functions integrable systems symmetric functions boson–fermion correspondence 

分 类 号：O413.3[理学—理论物理]