Instantons and Self-Dual Gauge Fields
نویسنده
چکیده
Self-dual gauge fields play an important role in four-dimensional Riemannian geometry. In this essay we review some of the basic ideas surrounding these gauge fields. In particular we review the Atiyah-Hitchin-Singer theorem on the dimension of the moduli space of such solutions. We also review the role of self-dual gauge fields in the geometry of Euclidean Yang-Mills theory where these solutions go by the name of instantons. Finally, we work out the simplest example of a self-dual gauge field on a principal SU(2)-bundle over S4, the BPST instanton.
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تاریخ انتشار 2004