English

Construction of multi-instantons in eight dimensions

High Energy Physics - Theory 2009-11-07 v1

Abstract

We consider an eight-dimensional local octonionic theory with the seven-sphere playing the role of the gauge group. Duality conditions for two- and four-forms in eight dimensions are related. Dual fields--octonionic instantons--solve an 8D generalization of the Yang-Mills equation. Modifying the ADHM construction of 4D instantons, we find general kk-instanton 8D solutions which depends on 16k716k-7 effective parameters.

Keywords

Cite

@article{arxiv.hep-th/0210037,
  title  = {Construction of multi-instantons in eight dimensions},
  author = {Roman V. Buniy and Thomas W. Kephart},
  journal= {arXiv preprint arXiv:hep-th/0210037},
  year   = {2009}
}
R2 v1 2026-07-22T15:13:20.121Z