Motion on moduli spaces with potentials

Abstract

In the limit of small velocities, the dynamics of half-BPS Yang-Mills-Higgs solitons can be described by the geodesic approximation. Recently, it has been shown that quarter-BPS states require the addition of a potential term to this approximation. We explain the logic behind this modification for a larger class of models and then analyse in detail the dynamics of two five-dimensional dyonic instantons, using both analytical and numerical techniques. Nonzero-modes are shown to play a crucial role in the analysis of these systems, and we explain how these modes lead to qualitatively new types of dynamics.

23 pages, 9 figures; v2: minor changes, reference added

References in corpus (1)

• Fast and Slow Blowup in the S^2 Sigma Model and (4+1)-Dimensional Yang-Mills Model

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• The Geometry of Dyonic Instantons in 5-dimensional Supergravity
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• Instanton-soliton loops in 5D super-Yang-Mills
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• Notes on the Dynamics of Noncommutative U(2) and Commutative SU(3) Instantons
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