Hermitian Yang-Mills instantons on Calabi-Yau cones

Abstract

We study and construct non-abelian hermitian Yang-Mills (HYM) instantons on Calabi-Yau cones. By means of a particular isometry preserving ansatz, the HYM equations are reduced to a novel Higgs-Yang-Mills flow on the Einstein-Kahler base. For any 2d-dimensional Calabi-Yau cone, we find explicit solutions of the flow equations that correspond to non-trivial SU(d) HYM instantons. These can be regarded as deformations of the spin connection of the Calabi-Yau cone.

17 pages

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• Resolutions of non-regular Ricci-flat Kahler cones
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• Instantons on Special Holonomy Manifolds
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• Deformations of nearly Kähler instantons
• Instantons on sine-cones over Sasakian manifolds
• Instantons on Calabi-Yau cones
• Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones
• Instantons, five-branes and fractional strings
• Yang-Mills Solutions and Dyons on Cylinders over Coset Spaces with Sasakian Structure