Gauge Theoretical Construction of Non-compact Calabi–Yau Manifolds
Authors: Higashijima K.1; Kimura T.1; Nitta M.2
Source: Annals of Physics, Volume 296, Number 2, March 2002 , pp. 347-370(24)
Publisher: Academic Press
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Abstract:
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. © 2002 Elsevier Science (USA).
Language: English
Document Type: Research article
Affiliations: 1: Department of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan 2: Department of Physics, Purdue University, West Lafayette, Indiana, 47907-1396
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