Non-compact Calabi-Yau Metrics from Nonlinear Realizations

2003/09/01 by Muneto Nitta, Nitta, Muneto
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.hep-th/0309004

18 pages, one figure

arxiv created 2003/09/01 · openalex publication_date 2003/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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