On q-deformed infinite-dimensional n-algebra

被引：9

作者：

Ding, Lu ^{[1
]}

Jia, Xiao-Yu ^{[2
]}

Wu, Ke ^{[2
,3
]}

Yan, Zhao-Wen ^{[4
]}

Zhao, Wei-Zhong ^{[2
,3
]}

机构：

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

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

[3] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China

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

来源：

NUCLEAR PHYSICS B | 2016年 / 904卷

关键词：

VIRASORO ALGEBRA; Q-DEFORMATION; QUANTUM KDV; Q-ANALOGS; REPRESENTATIONS; REALIZATIONS; OSCILLATOR;

D O I：

10.1016/j.nuclphysb.2016.01.003

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：

The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro-Witt algebra, we derive a nontrivial q-deformed Virasoro Witt n-algebra which is nothing but a sh-n-Lie algebra. Furthermore in terms of the pseud-differential operators, we construct the (co)sine n-algebra and the q-deformed SDiff(T-2) n-algebra. We find that they are the sh-n-Lie algebras for the n even case. In terms of the magnetic translation operators, an explicit physical realization of the (co)sine n-algebra is given. (C) 2016 The Authors. Published by Elsevier B.V.

引用

页码：18 / 38

页数：21

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