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arXiv · hep-th/0004167

Instantons and the monopole-like equations in eight dimensions

Yi-hong Gao·Gang Tian
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Abstract

We search for an abelian description of the Yang-Mills instantons on certain eight dimensional manifolds with the special holonomies $Spin(7)$ and SU(4). By mimicing the Seiberg-Witten theory in four dimensions, we propose a set of monopole-like equations governing the 8-dimensional U(1) connections and spinors, which are supposed to be the dual theory of the nonabelian instantons. We also give a naive test of the generalized $S$-duality in the abelian sector of 8-dimensional Yang-Mills theory. Some problems in this approach are pointed out.

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Yi-hong Gao, Gang Tian. 2000-06-01. Instantons and the monopole-like equations in eight dimensions. https://doi.org/10.1088/1126-6708%2F2000%2F05%2F036

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