Instantons on Calabi-Yau cones
arXiv:1505.01755 · doi:10.1016/j.nuclphysb.2015.10.014
Abstract
The Hermitian Yang-Mills equations on certain vector bundles over Calabi-Yau cones can be reduced to a set of matrix equations; in fact, these are Nahm-type equations. The latter can be analysed further by generalising arguments of Donaldson and Kronheimer used in the study of the original Nahm equations. Starting from certain equivariant connections, we show that the full set of instanton equations reduce, with a unique gauge transformation, to the holomorphicity condition alone.
v2: 26 pages, accepted in Nucl.Phys.B, added 6 references, improved discussion, added Yang-Mills with torsion
References in corpus (6)
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- Instantons on Special Holonomy Manifolds
- Chern-Simons flows on Aloff-Wallach spaces and Spin(7)-instantons
- Sigma-model limit of Yang-Mills instantons in higher dimensions
- Instantons on sine-cones over Sasakian manifolds
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