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arXiv · hep-th/9506164

Moduli Spaces in the Four-Dimensional Topological Half-Flat Gravity

Mitsuko Abe
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Abstract

We classify the moduli spaces of the four-dimensional topological half-flat gravity models by using the canonical bundle. For a K3-surface or four-dimensional torus, they describe an equivalent class of a trio of the Einstein-Kahler forms ( the hyperkahler forms ). We calculate the dimensions of these moduli spaces by using the Atiyah-Singer Index theorem. We mention the partition function and the possibility of the observables in the Witten-type topological half-flat gravity model case.

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Mitsuko Abe. 1995-10-02. Moduli Spaces in the Four-Dimensional Topological Half-Flat Gravity. https://doi.org/10.1142/s0217732395002556

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