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


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Bilge A., Dereli T., Kocak S.

COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol.203, no.1, pp.21-30, 1999 (SCI-Expanded, Scopus) identifier identifier

Abstract

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.