Hermitian Yang-Mills instantons on Calabi-Yau cones

Details Hermitian Yang-Mills instantons on Calabi-Yau cones Hermitian Yang-Mills instantons on Calabi-Yau cones

2009-10-06

arxiv.org/abs/0910.1096v1

JHEP 0912:004,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1088/1126-6708/2009/12/004

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.

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