Orthogonal and Symplectic Clifford Algebras pp 299-310 | Cite as
Self-Dual Yang-Mills Fields and the Penrose Transform in the Spinor Context
Abstract
We use particular properties of spinor geometry in dimension 4, in order to give a new approach for the introduction of self-dual connections in Yang-Mills theory (instantons) and the Penrose transform. Our approach essentially uses pure spinors and associated totally isotropic spaces; twistors are not employed. Our method shows that the Penrose transform is nothing but a far and rather hidden resurgence of results of E. Cartan. We finally indicate a possible generalization of the instantons, called by us ‘spintantons’, which is connected to our definition of the enlarged spinor structures. Here we consider C∞ structures only.
Keywords
Vector Bundle Structural Group Pure Spinor Clifford Algebra Stereographic ProjectionPreview
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