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Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kahler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.
LaTeX2e, 18 pages, no figures, typos corrected, the version published in NPB
High Energy Physics - Theory, Hermitian symmetric space, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, complex line bundles, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, conical singularity, Mathematical Physics
High Energy Physics - Theory, Hermitian symmetric space, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory, complex line bundles, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, conical singularity, Mathematical Physics
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