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Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry

2002/10/03 by Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Nonlinear Waves and Solitons #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0920-5632(03)90693-1

published as Nucl.Phys.B Proc.Suppl. 117, Supplement 1 (2003) 867-869 · LaTeX2e, using espcrc2.sty, 3 pages, no figures, Talk given at the 31st International Conference on High Energy Physics (ICHEP 2002), Amsterdam, The Netherlands, 24-31 July 2002

arxiv created 2002/10/03 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a class of N=2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kahler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kahler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.

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