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arXiv · hep-th/9903260

A Note on Higher Dimensional Instantons and Supersymmetric Cycles

H. Kanno
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Abstract

We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $Ω$ and it was recently employed as a topological gauge fixing condition in higher dimensional generalizations of cohomological Yang-Mills theory. When $Ω$ is a calibration which is naturally introduced on the manifold of special holomony, we argue that higher dimensional instanton may be locally characterized as a family of four dimensional instantons over a supersymmetric (n-4) cycle $Σ$ with respect to the calibration $Ω$. This is an instanton configuration on the total space of the normal bundle $N(Σ)$ of the submanifold $Σ$ and regarded as a natural generalization of point-like instanton in four dimensions that plays a distinguished role in a compactification of instanton moduli space.

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H. Kanno. 1999-04-01. A Note on Higher Dimensional Instantons and Supersymmetric Cycles. https://doi.org/10.1143/ptps.135.18

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