广义几何与平衡拓扑场论中的度量约化
Metric Reduction in Generalized Geometry and Balanced Topological Field Theories
摘要：
最近建立的度量约简广义几何编码的0维超对称$σ$ -模型。这是平衡拓扑场论的一个例子。为了找到这种模型的几何内容，Bismut连接的减少进行了详细的研究。在此基础上，对广义K $\ddot{a}$ hler约化进行了简要的讨论，从而用拓扑场论的方法形式化地解释了偶型广义K $\ddot{a}$ hler 4-流形上瞬子模空间上的广义K $\ddot{a}$ hler几何.
英文摘要：
The recently established metric reduction in generalized geometry is encoded in 0-dimensional supersymmetric $σ$-models. This is an example of balanced topological field theories. To find the geometric content of such models, the reduction of Bismut connections is studies in detail. Generalized K$\ddot{a}$hler reduction is briefly revisited in this formalism and the generalized K$\ddot{a}$hler geometry on the moduli space of instantons on a generalized K$\ddot{a}$hler 4-manifold of even type is thus explained formally in a topological field theoretic way.
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