Instantons and the monopole-like equations in eight dimensions

Details Instantons and the monopole-like equations in eight dimensions Instantons and the monopole-like equations in eight dimensions

2000-04-24

arxiv.org/abs/hep-th/0004167v2

JHEP 0005 (2000) 036

Physics

High Energy Physics

High Energy Physics - Theory

22+1 pages, no figures, using JHEP.cls; v2: typos corrected and refs updated, to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/05/036

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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