Poisson sigma model over group manifolds
Poisson sigma model over group manifolds
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群流形上的泊松西格玛模型
DOI：
10.1016/j.geomphys.2004.09.004
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发表时间：
2003
影响因子：
1.5
通讯作者：
M. Zabzine
中科院分区：
文献类型：
--
作者：
F. Bonechi;M. Zabzine
我们研究的Poisson sigma模型可以被看作是一个拓扑弦理论。主要研究了具有Poisson-Lie结构的群流形G上的Poisson-sigma模型。在这种情况下，自然会出现平坦连接条件。在这个模型中的边界条件（D膜）进行了研究。证明了D-膜被G的共迷向子群标记。我们给出了黎曼曲面上经典解的模空间的描述，包括无边界和有边界两种情况。最后，我们简要地评论了该模型的对偶性质。
We study the Poisson sigma model which can be viewed as a topological string theory. Mainly we concentrate our attention on the Poisson sigma model over a group manifold G with a Poisson–Lie structure. In this case the flat connection conditions arise naturally. The boundary conditions (D-branes) are studied in this model. It turns out that the D-branes are labelled by the coisotropic subgroups of G . We give a description of the moduli space of classical solutions over Riemann surfaces both without and with boundaries. Finally we comment briefly on the duality properties of the model.