Gauge theoretical construction of non-compact Calabi-Yau manifolds

Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta

研究成果: Article査読

20 被引用数 (Scopus)

抄録

We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CPN-1. Imposing an F-term constraint on the line bundle over CPN-1, we obtain the line bundle over the complex quadric surface QN-2. On the other hand, when we promote the U (1) gauge symmetry in CPN-1 to the non-abelian gauge group U (M), the line bundle over the Grassmann manifold is obtained. We construct the non-compact Calabi-Yau manifolds with isometries of exceptional groups, which we have not discussed in the previous papers. Each of these manifolds contains the resolution parameter which controls the size of the base manifold, and the conical singularity appears when the parameter vanishes.

本文言語English
ページ(範囲)347-370
ページ数24
ジャーナルAnnals of Physics
296
2
DOI
出版ステータスPublished - 2002 3 15
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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