Instantons on the six-sphere and twistors
High Energy Physics - Theory
2015-06-05 v2 Mathematical Physics
math.MP
Abstract
We consider the six-sphere S^6=G_2/SU(3) and its twistor space Z=G_2/U(2) associated with the SU(3)-structure on S^6. It is shown that a Hermitian Yang-Mills connection (instanton) on a smooth vector bundle over S^6 is equivalent to a flat partial connection on a vector bundle over the twistor space Z. The relation with Tian's tangent instantons on R^7 and their twistor description are briefly discussed.
Keywords
Cite
@article{arxiv.1206.4128,
title = {Instantons on the six-sphere and twistors},
author = {Olaf Lechtenfeld and Alexander D. Popov},
journal= {arXiv preprint arXiv:1206.4128},
year = {2015}
}
Comments
12 pages; v2: clarifying comments added, published version