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.

引用

页数：7

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