Topology in the Bulk: Gauge Field Solitons in Extra Dimensions

Abstract

Certain static soliton configurations of gauge fields in 4+1 dimensions correspond to the instanton in 4-Euclidean dimensions ``turned on its side,'' becoming a monopole in 4+1. The periodic instanton solution can be used with the method of images to construct solutions satisfying D-brane boundary conditions. The $\theta$-term on the brane becomes a topological current source, yielding an emission amplitude for monopoles into the bulk. Instantons have a novel reinterpretation in terms of monopole exchange between branes.

23 pages, 4 figures

References in corpus (5)

• A Large Mass Hierarchy from a Small Extra Dimension
• Hierarchies without Symmetries from Extra Dimensions
• Self-Breaking of the Standard Model Gauge Symmetry
• Topological Effects in Our Brane World From Extra Dimensions
• Gauge Coupling Unification with Extra Dimensions and Gravitational Scale Effects

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• Standard Model baryogenesis through four-fermion operators in braneworlds
• Extra dimensions and the strong CP problem
• Bounding Gauged Skyrmion Masses
• Topological Interactions in Warped Extra Dimensions
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• Boundary Localized Symmetry Breaking and Topological Defects
• Top Mode Standard Model in Six Dimensions