Octonionic instantons in eight dimensions

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.

16 pages, LaTeX, no figures

References in corpus (3)

• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• Classical solutions for exotic instantons?
• Remarks on string solitons

Cited by in corpus (4)

• Instantons and Berry's connections on quantum graph
• A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models
• Exotic instantons in eight dimensions
• Solitons and exotic instantons