ADHM construction of (anti-)self-dual instantons in 4n dimensions

• Main Author: Koki Takesue
• Format: Article
• Language: English
• Published: SpringerOpen 2017-07-01
• Series: Journal of High Energy Physics
• Subjects: Field Theories in Higher Dimensions; Solitons Monopoles and Instantons
• Online Access: http://link.springer.com/article/10.1007/JHEP07(2017)110

Abstract The ADHM construction is a very strong scheme to construct the instantons in four dimensions. We study an ADHM construction of instantons in 4n (n ≥ 2) dimensions by generalizing this scheme. The higher-dimensional ADHM construction generates the 4n-dimensional (anti-)self-dual instantons which satisfy the (anti-)self-dual equation in 4n dimensions: F (n) = ± ∗4n F (n). Here F (n) is the nth wedge products of the gauge field strength 2-form F. We also show that our scheme reproduces the known 4n-dimensional one-instantons and there are multi-instanton solutions of the ’t Hooft type in the dilute instanton gas limit. Moreover, we discuss a Harrington-Shepard type caloron in 4n dimen-sions and this monopole limit.