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Motion on moduli spaces with potentials

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...

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Detalles Bibliográficos
Autores principales: Peeters, Kasper, Zamaklar, Marija
Lenguaje:eng
Publicado: 2001
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2001/12/032
http://cds.cern.ch/record/509737
Descripción
Sumario: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.