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arxiv: hep-th/9911184 · v1 · pith:6WPGIMG2new · submitted 1999-11-23 · ✦ hep-th

Yang-Mills instantons on 7-dimensional manifold of G₂ holonomy

classification ✦ hep-th
keywords yang-millsdimensionalholonomyinstantonsmanifoldansatzconnectiondifferential
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We investigate Yang-Mills instantons on a 7-dimensional manifold of G_2 holonomy. By proposing a spherically symmetric ansatz for the Yang-Mills connection, we have ordinary differential equations as the reduced instanton equation, and give some explicit and numerical solutions.

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