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arXiv · 1708.00567

Metric Reduction in Generalized Geometry and Balanced Topological Field Theories

Yicao Wang
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Abstract

The recently established metric reduction in generalized geometry is encoded in 0-dimensional supersymmetric $\sigma$-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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Yicao Wang. 2017-08-02. Metric Reduction in Generalized Geometry and Balanced Topological Field Theories. https://arxiv.org/abs/1708.00567

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