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.

arXiv comment16 pages, LaTeX, no figures

References in corpus (14)

• The Eight Dimensional Quantum Hall Effect and the Octonions
• Seven Dimensional Octonionic Yang-Mills Instanton and its Extension to an Heterotic String Soliton
• A Comment on String Solitons
• Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
• SU(3)-instantons and $G_2,Spin(7)$-heterotic string solitons
• Exotic prepotentials from D(-1)D7 dynamics
• The Berry Phase of D0-Branes
• Classical solutions for exotic instantons?
• Brane Descent Relations in K-theory
• Heterotic string plus five-brane systems with asymptotic AdS3
• ADHM Construction of (Anti-)Self-dual Instantons in Eight Dimensions
• Multi-instantons and superstring solitons
• Remarks on string solitons
• Closed Strings from SO(8) Yang-Mills Instantons

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