Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton
Abstract
We construct an octonionic instanton solution to the seven dimensional Yang-Mills theory based on the exceptional gauge group which is the automorphism group of the division algebra of octonions. This octonionic instanton has an extension to a solitonic two-brane solution of the low energy effective theory of the heterotic string that preserves two of the sixteen supersymmetries and hence corresponds to space-time supersymmetry in the (2+1) dimensions transverse to the seven dimensions where the Yang-Mills instanton is defined.
Keywords
Cite
@article{arxiv.hep-th/9502009,
title = {Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton},
author = {Murat Gunaydin and Hermann Nicolai},
journal= {arXiv preprint arXiv:hep-th/9502009},
year = {2011}
}
Comments
7 pages, Latex document. This is the final version that appeared in Phys. Lett. B that includes an extra paragraph about the physical properties of the octonionic two-brane. We have also put an addendum regarding some related references that were brought to our attention recently