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arXiv · 1401.0352

Hyperkahler metric and GMN ansatz on focus-focus fibrations

Jie Zhao
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Abstract

In this paper, we study hyperkahler metric and practice GMN's construction of hyperkahler metric on focus-focus fibrations. We explicitly compute the action-angel coordinates on the local model of focus-focus fibration, and show its semi-global invariant should be harmonic to admit a compatible holomorphic 2-form. Then we study the canonical semi-flat metric on it. After the instanton correction, finally we get a re-construction of the generalized Ooguri-Vafa metric.

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BibTeXRIS

Jie Zhao. 2014-01-02. Hyperkahler metric and GMN ansatz on focus-focus fibrations. https://doi.org/10.1016/j.geomphys.2014.08.007

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