Super W1+∞ n-Algebra in the Supersymmetric Landau Problem

被引：0

作者：

Zhang, Chun-Hong ^{[1
]}

Ding, Lu ^{[2
]}

Yan, Zhao-Wen ^{[3
]}

Wu, Ke ^{[1
]}

Zhao, Wei-Zhong ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 67卷 / 06期

基金：

中国国家自然科学基金;

关键词：

conformal and W symmetry; n-algebra; supersymmetric Landau problem; W-INFINITY-ALGEBRA; SYSTEM; LIE;

D O I：

10.1088/0253-6102/67/6/648

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the super n-bracket built from associative operator products. Since the super n-bracket with n even satisfies the so-called generalized super Jacobi identity, we deal with the n odd case and give the generalized super Bremner identity. For the infinite conserved operators in the supersymmetric Landau problem, we derive the super W1+infinity n-algebra which satisfies the generalized super Jacobi and Bremner identities for the n even and odd cases, respectively. Moreover the super W1+infinity sub-2n-algebra is also given.

引用

页码：648 / 654

页数：7

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