TY - JOUR

T1 - Gauge theoretical construction of non-compact Calabi-Yau manifolds

AU - Higashijima, Kiyoshi

AU - Kimura, Tetsuji

AU - Nitta, Muneto

N1 - Funding Information:
We thank Takashi Yokono for helpful comments. This work was supported in part by the Grant-in-Aid for Scientif c Research. The work of M.N. was supported by the U.S. Department of Energy under Grant DE-FG02-91ER40681 (Task B).

PY - 2002/3/15

Y1 - 2002/3/15

N2 - 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.

AB - 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.

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U2 - 10.1006/aphy.2002.6226

DO - 10.1006/aphy.2002.6226

M3 - Article

AN - SCOPUS:0037088336

SN - 0003-4916

VL - 296

SP - 347

EP - 370

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -