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Spin(7)-instanton

Contents

Idea

The concept of Spin(7)Spin(7)-instantons (Lewis 98) is an analogue of that of Yang-Mills instantons for SU(2)-principal connections on 4-dimensional manifolds, to (8-dimensional) Spin(7) manifolds.

Definition

On a Spin(7) manifold the differential 2-forms decompose into two irreducible representations, Λ 7\Lambda_7 and Λ 21\Lambda_{21} under the action of Spin(7) (e.g. Lewis 98, p. 13).

A connection on the Spin(7)Spin(7)-manifold is called a Spin(7)Spin(7)-instanton it its curvature 2-form has vanishing component in the representation Λ 7\Lambda_7 (Lewis 98, def.3.1).

References

Last revised on January 22, 2016 at 11:48:28. See the history of this page for a list of all contributions to it.