Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-01
Phys.Lett.B351:169-172,1995; Addendum-ibid.B376:329,1996
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, Latex document. This is the final version that appeared in Phys. Lett. B that includes an extra paragraph about the p
Scientific paper
10.1016/0370-2693(95)00375-U
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 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 $N=1$ space-time supersymmetry in the (2+1) dimensions transverse to the seven dimensions where the Yang-Mills instanton is defined.
Gunaydin Murat
Nicolai Hermann
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