The vertex operator for a generalization of MacMahon's formula

被引：1
|
作者：
Cai, Liqiang [1 ,3 ]
Wang, Lifang [1 ]
Wu, Ke [1 ,2 ]
Yang, Jie [1 ,2 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
[3] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2015年 / 30卷 / 30期
基金：
中国国家自然科学基金;
关键词：
Vertex operator; MacMahon's formula; Macdonald function; refined topological vertex;
D O I：
10.1142/S0217751X15501766
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We provide a vertex operator realization for a two-parameter generalization of MacMahon's formula introduced by M. Vuletic [Trans. Amer. Math. Soc. 361, 2789 (2009)]. Since the generalized MacMahon function is the kernel function of some Macdonald symmetric function, we consider the action of two vertex operators on a state corresponding to a Macdonald symmetric function. It becomes evident that the vertex operators appear to be the creation and annihilation operators, respectively on the state.
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页数：7
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