Integrable sigma model with generalized F structure, Yang-Baxter sigma model with generalized complex structure and multi-Yang-Baxter sigma model

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
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引用次数: 0

Abstract

We construct an integrable sigma model with a generalized F structure, which involves a generalized Nijenhuis structure J satisfying J3=J. Utilizing the expression of the generalized complex structure on the metric Lie group manifold G in terms of operator relations on its Lie algebra g, we formulate a Yang-Baxter sigma model with a generalized complex structure. Additionally, we present multi-Yang-Baxter sigma models featuring two and three compatible Nijenhuis structures. Examples for each of these models are provided.

具有广义 F 结构的可积分西格玛模型、具有广义复合结构的杨-巴克斯特西格玛模型和多杨-巴克斯特西格玛模型
我们构建了一个具有广义 F 结构的可积分西格玛模型,它涉及满足 J3=-J 的广义尼延胡斯结构 J。利用广义复结构在度量烈群流形 G 上的表达式,即其烈代数 g 上的算子关系,我们提出了一个具有广义复结构的杨-巴克斯特西格玛模型。此外,我们还提出了多杨-巴克斯特西格玛模型,它具有两个和三个兼容的尼延胡斯结构。我们还提供了每个模型的示例。
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来源期刊
Nuclear Physics B
Nuclear Physics B 物理-物理:粒子与场物理
CiteScore
5.50
自引率
7.10%
发文量
302
审稿时长
1 months
期刊介绍: Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.
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