WZW - Poisson manifolds
WZW - Poisson manifolds
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DOI：
10.1016/s0393-0440(02)00027-x
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发表时间：
2001-04
影响因子：
1.5
通讯作者：
C. Klimčík;T. Strobl
中科院分区：
文献类型：
--
作者：
C. Klimčík;T. Strobl
我们观察到，可以在泊松σ模型的拉格朗日函数中加入WZW型项，使得第一类约束的代数保持封闭。这导致了泊松几何概念的自然推广。由此得到的“WZW-Poisson”流形M由一个双向量Π和一个闭三形H来刻画，使得1/2[Π，Π]Schouten=〈H，Π⊗Π⊗Π〉。
We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson σ-model in such a way that the algebra of the first class constraints remains closed. This leads to a natural generalization of the concept of Poisson geometry. The resulting “WZW–Poisson” manifold M is characterized by a bivector Π and by a closed three-form H such that 1/2[Π,Π]Schouten=〈H,Π⊗Π⊗Π〉.