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A Note on Conifolds

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arxiv hep-th/0107100 v3 pith:AVTVRFEV submitted 2001-07-12 hep-th gr-qcmath-phmath.MP

Kiyoshi Higashijima , Tetsuji Kimura , Muneto Nitta (Osaka Univ.) This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords complexconicalconifoldconifoldsisometrykahlermetricnote
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We present the Ricci-flat metric and its Kahler potential on the conifold with the O(N) isometry, whose conical singularity is repaired by the complex quadric surface Q^{N-2} = SO(N)/SO(N-2)xU(1).

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  1. Ricci-flat metrics from gauged linear $\sigma$-models without RG flow

    hep-th 2026-08 conditional novelty 7.0 of 10

    Explicit Ricci-flat Kähler metrics on cones over products of projective spaces are built from gauged linear sigma models whose 'shadow' fields carry negative-signature kinetic terms.

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