### Abstract

We construct an octonionic instanton solution to the seven-dimensional Yang-Mills theory based on the exceptional gauge group G_{2} which is the automorphism group of the division algebra of octonions. This octonionic has an extension to a solitonic solution of the low energy effective theory of the heterotic string that preserves two of the sixteen supersymmetries and hence corresponds to N = 1 space-time supersymmetry in (2+1) dimensions transverse to the seven dimensions where the Yang-Mills instanton is defined.

Original language | English (US) |
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Pages (from-to) | 169-172 |

Number of pages | 4 |

Journal | Physics Letters B |

Volume | 351 |

Issue number | 1-3 |

DOIs | |

State | Published - May 25 1995 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Günaydin, M., & Nicolai, H. (1995). Seven-dimensional octonionic Yang-Mills instanton and its extension to an heterotic string soliton.

*Physics Letters B*,*351*(1-3), 169-172. https://doi.org/10.1016/0370-2693(95)00375-U