Motion on moduli spaces with potentials

Details Motion on moduli spaces with potentials Motion on moduli spaces with potentials

2001-07-19

arxiv.org/abs/hep-th/0107164v2

JHEP 0112:032,2001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2001/12/032

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.

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