Low energy dynamics of a CP^1 lump on the sphere

Details Low energy dynamics of a CP^1 lump on the sphere Low energy dynamics of a CP^1 lump on the sphere

1997-12-10

arxiv.org/abs/hep-th/9712089v1

J.Math.Phys. 36 (1995) 796

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 9 postscript figures

Scientific paper

10.1063/1.531157

Low-energy dynamics in the unit-charge sector of the CP^1 model on spherical space (space-time S^2 x R) is treated in the approximation of geodesic motion on the moduli space of static solutions, a six-dimensional manifold with non-trivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full field theory. Evaluation of the metric is then reduced to finding five functions of one coordinate, which may be done explicitly. Some totally geodesic submanifolds are found and the qualitative features of motion on these described.

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