Hermitian Yang-Mills instantons on Calabi-Yau cones
High Energy Physics - Theory
2010-04-15 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.0910.1096,
title = {Hermitian Yang-Mills instantons on Calabi-Yau cones},
author = {Filipe Paccetti Correia},
journal= {arXiv preprint arXiv:0910.1096},
year = {2010}
}
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17 pages