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Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action

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Springer Science and Business Media LLC

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We obtain an elliptic system of monopole equations on 8-manifolds with Spin(7) holonomy by minimizing an action involving negative spinors coupled to an Abelian gauge fields.
18 pages, LATEX file, no figures

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Journal of High Energy Physics

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OPEN

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Differential And Algebraic Geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Issues of holonomy in differential geometry, High Energy Physics - Theory, Duality In Gauge Field Theories, differential and algebraic geometry, High Energy Physics - Theory (hep-th), Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), field theories in higher dimensions, Spin and Spin\({}^c\) geometry, FOS: Physical sciences, duality in gauge field theories, Field Theories In Higher Dimensions

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