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arXiv · 2003.09601

Octonionic instantons in eight dimensions

E. K. Loginov
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Abstract

In this letter, we study the instanton moduli space of the eight-dimensional solutions of the self-duality equation $F\wedge F= \ast F\wedge F$. Using the known ADHM-construction of such instantons, we compute the dimension of the space of solutions to this construction. We find a general $N$-instanton solution of the 't Hooft type which depends on $8N+1$ free parameters and investigate the cases $N=2$ and $N=3$ in detail.

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E. K. Loginov. 2021-03-29. Octonionic instantons in eight dimensions. https://doi.org/10.1016/j.physletb.2021.136244

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