Monopole equations on 8-manifolds with Spin(7) holonomy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, LATEX (No figures)

Scientific paper

10.1007/s002200050024

We construct a consistent set of monopole equations on eight-manifolds with
Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions
including all the 4-dimensional Seiberg-Witten solutions as a special case.

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