Non-compact Calabi-Yau Metrics from Nonlinear Realizations

Muneto Nitta

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arXiv · hep-th/0309004

Non-compact Calabi-Yau Metrics from Nonlinear Realizations

Muneto Nitta

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Abstract

We give a method to construct Calabi-Yau metrics on G-invariant vector bundles over Kahler coset spaces G/H using supersymmetric nonlinear realizations with matter coupling. As a concrete example we discuss the CP^N model coupled with matter. The canonical line bundle is reproduced by the singlet matter and the cotangent bundle with a new non-compact Calabi-Yau metric which is not hyper-Kahler is obtained by the anti-fundamental matter.

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Muneto Nitta. 2003-09-01. Non-compact Calabi-Yau Metrics from Nonlinear Realizations. https://arxiv.org/abs/hep-th/0309004

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