Generalized βand (q,t)-deformed partition functions with W-representations and Nekrasov partition functions

被引：0
|
作者：
Liu, Fan [1 ]
Wang, Rui [2 ]
Yang, Jie [1 ]
Zhao, Wei-Zhong [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100084, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL C | 2024年 / 84卷 / 07期
基金：
中国国家自然科学基金;
关键词：
HALL ALGEBRA; JACK;
D O I：
10.1140/epjc/s10052-024-13040-w
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We construct the generalized beta and (q,t)-deformed partition functions through W representations,where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by N-tuple of Young diagrams. We find that there are the profoundinterrelations between our deformed partition functions andthe 4dand 5dNekrasov partition functions. Since the corre-sponding Nekrasov partition functions can be given by vertex operators, the remarkable connection between our beta and(q,t)-deformed W-operators and vertex operators is revealed in this paper. In addition, we investigate the higher Hamilto-nians for the generalized Jack and Macdonald polynomials
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页数：16
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