Gauge theoretical construction of non-compact Calabi-Yau manifolds

Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta

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18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)347-370
Number of pages24
JournalAnnals of Physics
Issue number2
Publication statusPublished - 2002 Mar 15
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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