Instantons on Calabi-Yau cones
High Energy Physics - Theory
2015-12-09 v2
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.
Keywords
Cite
@article{arxiv.1505.01755,
title = {Instantons on Calabi-Yau cones},
author = {Marcus Sperling},
journal= {arXiv preprint arXiv:1505.01755},
year = {2015}
}
Comments
v2: 26 pages, accepted in Nucl.Phys.B, added 6 references, improved discussion, added Yang-Mills with torsion