Abstract:
We construct octonionic multi-instantons for the eight and seven dimensional Yang–Mills theory. Extended soliton solutions to the low-energy heterotic field theory equations of motion are constructed from these octonionic multi-instantons. The solitons describe a string in ten-dimensional Minkowski space, and preserve one and two of the sixteen space-time supersymmetries correspondingly.
\Bibitem{Log05}
\by Eugene K. Loginov
\paper Multi-Instantons in Higher Dimensions and Superstring Solitons
\jour SIGMA
\yr 2005
\vol 1
\papernumber 002
\totalpages 4
\mathnet{http://mi.mathnet.ru/sigma2}
\crossref{https://doi.org/10.3842/SIGMA.2005.002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2173589}
\zmath{https://zbmath.org/?q=an:1075.81057}
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This publication is cited in the following 3 articles:
Gemmer, K.-P., Haupt, A.S., Lechtenfeld, O., Nolle, C., Popov, A.D., “Heterotic string plus five-brane systems with asymptotic AdS3”, Advances in Theoretical and Mathematical Physics, 17:4 (2013), 771–827
Ivanova T.A., Popov A.D., “Instantons on Special Holonomy Manifolds”, Phys. Rev. D, 85:10 (2012), 105012
Castro C., “On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification”, Journal of Mathematical Physics, 48:7 (2007), 073517