The natural spinor connection onS8is a gauge field

✍ Scribed by G. Landi

• Publisher: Springer
• Year: 1986
• Tongue: English
• Weight: 187 KB
• Volume: 11
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398429

✦ Synopsis

We show that the natural spinor connection on Ss gives the solution of the Yang-Mills equations in eight dimensions recently found by Grossman, Kephart, and Stasheff. We compute explicitly its Euler number.

Recently, Grossman, Kephart, and Stasheff have found a topologically nontrivial solution of the sourceless Yang-Mills equations in the Euclidean eight-dimensional space [1]. This solution is related to the Hopf map [2] $7